Index – C c4() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) c6() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) c_invariants() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) cantor_composition() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism) cantor_composition_simple() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism) cantor_reduction() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism) cantor_reduction_simple() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism) cardinality() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.heegner.GaloisGroup method) (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) cardinality_bsgs() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) cardinality_exhaustive() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) cardinality_hypellfrob() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) cardinality_pari() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) Cartier_matrix() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) change_ring() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method) change_weierstrass_model() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) check_prime() (in module sage.schemes.elliptic_curves.ell_local_data) chord_and_tangent() (in module sage.schemes.elliptic_curves.constructor) class_number() (in module sage.schemes.elliptic_curves.heegner) clear_cache() (sage.schemes.elliptic_curves.mod_sym_num.ModularSymbolNumerical method) clebsch_invariants() (in module sage.schemes.hyperelliptic_curves.invariants) (sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method) clebsch_to_igusa() (in module sage.schemes.hyperelliptic_curves.invariants) cm_discriminant() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) cm_j_invariants() (in module sage.schemes.elliptic_curves.cm) cm_j_invariants_and_orders() (in module sage.schemes.elliptic_curves.cm) cm_orders() (in module sage.schemes.elliptic_curves.cm) codomain() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method) coeff() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) coefficients_from_j() (in module sage.schemes.elliptic_curves.constructor) coefficients_from_Weierstrass_polynomial() (in module sage.schemes.elliptic_curves.constructor) coeffs() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method) coleman_integral() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) coleman_integral_from_weierstrass_via_boundary() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) coleman_integral_P_to_S() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) coleman_integral_S_to_Q() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) coleman_integrals_on_basis() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) coleman_integrals_on_basis_hyperelliptic() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) compare_via_evaluation() (in module sage.schemes.elliptic_curves.hom) complex_area() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) complex_conjugation() (sage.schemes.elliptic_curves.heegner.GaloisGroup method) complex_intersection_is_empty() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) compute_codomain_formula() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_codomain_kohel() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_intermediate_curves() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_isogeny_kernel_polynomial() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_isogeny_stark() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_model() (in module sage.schemes.elliptic_curves.ell_field) compute_sequence_of_maps() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_vw_kohel_even_deg1() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_vw_kohel_even_deg3() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_vw_kohel_odd() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_wp_fast() (in module sage.schemes.elliptic_curves.ell_wp) compute_wp_pari() (in module sage.schemes.elliptic_curves.ell_wp) compute_wp_quadratic() (in module sage.schemes.elliptic_curves.ell_wp) conductor() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.heegner.HeegnerPoint method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) (sage.schemes.elliptic_curves.heegner.KolyvaginCohomologyClass method) (sage.schemes.elliptic_curves.heegner.RingClassField method) conductor_valuation() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method) congruence_number() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) conjugacy_test() (in module sage.schemes.elliptic_curves.Qcurves) conjugate() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method) conjugates_over_K() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method) contract() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) coordinates() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) copy() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC_NumberField method) (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC_Rational method) count_points() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) count_points_exhaustive() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) count_points_frobenius_polynomial() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) count_points_hypellfrob() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) count_points_matrix_traces() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) CPS_height_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) create_element() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing method) create_key_and_extra_args() (sage.schemes.elliptic_curves.constructor.EllipticCurveFactory method) create_object() (sage.schemes.elliptic_curves.constructor.EllipticCurveFactory method) cremona_curves() (in module sage.schemes.elliptic_curves.ell_rational_field) cremona_label() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) cremona_optimal_curves() (in module sage.schemes.elliptic_curves.ell_rational_field) curve() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) (sage.schemes.elliptic_curves.ell_torsion.EllipticCurveTorsionSubgroup method) (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method) (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method) (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) (sage.schemes.elliptic_curves.modular_parametrization.ModularParameterization method) (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) (sage.schemes.hyperelliptic_curves.jacobian_homset.JacobianHomset_divisor_classes method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method) curve_key() (in module sage.schemes.elliptic_curves.ell_egros) curve_over_ram_extn() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) curves_with_j_0() (in module sage.schemes.elliptic_curves.ell_finite_field) curves_with_j_0_char2() (in module sage.schemes.elliptic_curves.ell_finite_field) curves_with_j_0_char3() (in module sage.schemes.elliptic_curves.ell_finite_field) curves_with_j_1728() (in module sage.schemes.elliptic_curves.ell_finite_field) cyclic_subideal_p1() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)
Index – C c4() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) c6() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) c_invariants() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) cantor_composition() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism) cantor_composition_simple() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism) cantor_reduction() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism) cantor_reduction_simple() (in module sage.schemes.hyperelliptic_curves.jacobian_morphism) cardinality() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.heegner.GaloisGroup method) (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) cardinality_bsgs() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) cardinality_exhaustive() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) cardinality_hypellfrob() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) cardinality_pari() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) Cartier_matrix() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) change_ring() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method) change_weierstrass_model() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) check_prime() (in module sage.schemes.elliptic_curves.ell_local_data) chord_and_tangent() (in module sage.schemes.elliptic_curves.constructor) class_number() (in module sage.schemes.elliptic_curves.heegner) clear_cache() (sage.schemes.elliptic_curves.mod_sym_num.ModularSymbolNumerical method) clebsch_invariants() (in module sage.schemes.hyperelliptic_curves.invariants) (sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method) clebsch_to_igusa() (in module sage.schemes.hyperelliptic_curves.invariants) cm_discriminant() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) cm_j_invariants() (in module sage.schemes.elliptic_curves.cm) cm_j_invariants_and_orders() (in module sage.schemes.elliptic_curves.cm) cm_orders() (in module sage.schemes.elliptic_curves.cm) codomain() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method) coeff() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) coefficients_from_j() (in module sage.schemes.elliptic_curves.constructor) coefficients_from_Weierstrass_polynomial() (in module sage.schemes.elliptic_curves.constructor) coeffs() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRingElement method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientElement method) coleman_integral() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) coleman_integral_from_weierstrass_via_boundary() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) coleman_integral_P_to_S() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) coleman_integral_S_to_Q() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) coleman_integrals_on_basis() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) coleman_integrals_on_basis_hyperelliptic() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) compare_via_evaluation() (in module sage.schemes.elliptic_curves.hom) complex_area() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) complex_conjugation() (sage.schemes.elliptic_curves.heegner.GaloisGroup method) complex_intersection_is_empty() (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) compute_codomain_formula() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_codomain_kohel() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_intermediate_curves() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_isogeny_kernel_polynomial() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_isogeny_stark() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_model() (in module sage.schemes.elliptic_curves.ell_field) compute_sequence_of_maps() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_vw_kohel_even_deg1() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_vw_kohel_even_deg3() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_vw_kohel_odd() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) compute_wp_fast() (in module sage.schemes.elliptic_curves.ell_wp) compute_wp_pari() (in module sage.schemes.elliptic_curves.ell_wp) compute_wp_quadratic() (in module sage.schemes.elliptic_curves.ell_wp) conductor() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.heegner.HeegnerPoint method) (sage.schemes.elliptic_curves.heegner.HeegnerPoints_level_disc_cond method) (sage.schemes.elliptic_curves.heegner.KolyvaginCohomologyClass method) (sage.schemes.elliptic_curves.heegner.RingClassField method) conductor_valuation() (sage.schemes.elliptic_curves.ell_local_data.EllipticCurveLocalData method) congruence_number() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) conjugacy_test() (in module sage.schemes.elliptic_curves.Qcurves) conjugate() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlgEmbedding method) conjugates_over_K() (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method) contract() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) coordinates() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) copy() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC_NumberField method) (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC_Rational method) count_points() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) count_points_exhaustive() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) count_points_frobenius_polynomial() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) count_points_hypellfrob() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) count_points_matrix_traces() (sage.schemes.hyperelliptic_curves.hyperelliptic_finite_field.HyperellipticCurve_finite_field method) CPS_height_bound() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) create_element() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialCubicQuotientRing method) create_key_and_extra_args() (sage.schemes.elliptic_curves.constructor.EllipticCurveFactory method) create_object() (sage.schemes.elliptic_curves.constructor.EllipticCurveFactory method) cremona_curves() (in module sage.schemes.elliptic_curves.ell_rational_field) cremona_label() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) cremona_optimal_curves() (in module sage.schemes.elliptic_curves.ell_rational_field) curve() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) (sage.schemes.elliptic_curves.ell_torsion.EllipticCurveTorsionSubgroup method) (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method) (sage.schemes.elliptic_curves.heegner.HeegnerPointOnEllipticCurve method) (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) (sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight method) (sage.schemes.elliptic_curves.modular_parametrization.ModularParameterization method) (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) (sage.schemes.hyperelliptic_curves.jacobian_homset.JacobianHomset_divisor_classes method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method) curve_key() (in module sage.schemes.elliptic_curves.ell_egros) curve_over_ram_extn() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) curves_with_j_0() (in module sage.schemes.elliptic_curves.ell_finite_field) curves_with_j_0_char2() (in module sage.schemes.elliptic_curves.ell_finite_field) curves_with_j_0_char3() (in module sage.schemes.elliptic_curves.ell_finite_field) curves_with_j_1728() (in module sage.schemes.elliptic_curves.ell_finite_field) cyclic_subideal_p1() (sage.schemes.elliptic_curves.heegner.HeegnerQuatAlg method)