Index – I

ideal() (sage.schemes.elliptic_curves.heegner.GaloisAutomorphismQuadraticForm method) identity_morphism() (in module sage.schemes.elliptic_curves.weierstrass_morphism) (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) igusa_clebsch_invariants() (in module sage.schemes.hyperelliptic_curves.invariants) (sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method) igusa_to_clebsch() (in module sage.schemes.hyperelliptic_curves.invariants) image_classes() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) image_type() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) index() (sage.schemes.elliptic_curves.heegner.KolyvaginPoint method) (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method) inf_max_abs() (in module sage.schemes.elliptic_curves.height) innermost_point() (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) inseparable_degree() (sage.schemes.elliptic_curves.ell_curve_isogeny.EllipticCurveIsogeny method) (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) (sage.schemes.elliptic_curves.hom_composite.EllipticCurveHom_composite method) (sage.schemes.elliptic_curves.hom_frobenius.EllipticCurveHom_frobenius method) (sage.schemes.elliptic_curves.hom_scalar.EllipticCurveHom_scalar method) (sage.schemes.elliptic_curves.hom_sum.EllipticCurveHom_sum method) (sage.schemes.elliptic_curves.hom_velusqrt.EllipticCurveHom_velusqrt method) (sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method) integral_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) integral_points() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) integral_points_with_bounded_mw_coeffs() (in module sage.schemes.elliptic_curves.ell_rational_field) integral_short_weierstrass_model() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) integral_x_coords_in_interval() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) integrate() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferential method) intersection() (sage.schemes.elliptic_curves.height.UnionOfIntervals class method) interval_products() (in module sage.schemes.hyperelliptic_curves.hypellfrob) intervals() (sage.schemes.elliptic_curves.height.UnionOfIntervals method) invariant_differential() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) (sage.schemes.hyperelliptic_curves.monsky_washnitzer.MonskyWashnitzerDifferentialRing method) inverse() (sage.schemes.elliptic_curves.formal_group.EllipticCurveFormalGroup method) (sage.schemes.elliptic_curves.weierstrass_transform.WeierstrassTransformationWithInverse_class method) is_approximate (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell property) is_cm_j_invariant() (in module sage.schemes.elliptic_curves.cm) is_crystalline() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_divisible_by() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) is_EllipticCurve() (in module sage.schemes.elliptic_curves.ell_generic) is_empty() (sage.schemes.elliptic_curves.height.UnionOfIntervals method) (sage.schemes.elliptic_curves.period_lattice_region.PeriodicRegion method) is_exact() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) is_field() (sage.schemes.hyperelliptic_curves.monsky_washnitzer.SpecialHyperellipticQuotientRing method) is_finite_order() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_field method) is_global_integral_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) is_global_minimal_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) is_good() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) is_HCP() (in module sage.schemes.elliptic_curves.cm) is_HyperellipticCurve() (in module sage.schemes.hyperelliptic_curves.hyperelliptic_generic) is_identity() (sage.schemes.elliptic_curves.weierstrass_morphism.baseWI method) (sage.schemes.elliptic_curves.weierstrass_morphism.WeierstrassIsomorphism method) is_in_weierstrass_disc() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) is_inert() (in module sage.schemes.elliptic_curves.heegner) is_injective() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) is_integral() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) is_irreducible() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_isogenous() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) is_isomorphic() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) is_j_supersingular() (in module sage.schemes.elliptic_curves.ell_finite_field) is_kernel_polynomial() (in module sage.schemes.elliptic_curves.isogeny_small_degree) is_kolyvagin() (sage.schemes.elliptic_curves.heegner.GaloisGroup method) is_kolyvagin_conductor() (in module sage.schemes.elliptic_curves.heegner) is_local_integral_model() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) is_minimal() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) is_normalized() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) is_odd_degree() (sage.schemes.hyperelliptic_curves.hyperelliptic_g2.HyperellipticCurve_g2 method) is_on_curve() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) is_on_identity_component() (sage.schemes.elliptic_curves.ell_point.EllipticCurvePoint_number_field method) is_ordinary() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method) is_p_integral() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) is_p_minimal() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) is_possible_j() (in module sage.schemes.elliptic_curves.ell_egros) is_potentially_crystalline() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_potentially_semistable() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_Q_curve() (in module sage.schemes.elliptic_curves.Qcurves) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) is_quadratic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) is_quartic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) is_quasi_unipotent() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_ramified() (in module sage.schemes.elliptic_curves.heegner) is_real() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) is_rectangular() (sage.schemes.elliptic_curves.period_lattice.PeriodLattice_ell method) is_reducible() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_same_disc() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) is_semistable() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_separable() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) is_sextic_twist() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) is_singular() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) is_smooth() (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) is_split() (in module sage.schemes.elliptic_curves.heegner) (sage.schemes.elliptic_curves.ell_tate_curve.TateCurve method) is_subfield() (sage.schemes.elliptic_curves.heegner.RingClassField method) is_supersingular() (sage.schemes.elliptic_curves.ell_finite_field.EllipticCurve_finite_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesOrdinary method) (sage.schemes.elliptic_curves.padic_lseries.pAdicLseriesSupersingular method) is_surjective() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) (sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method) (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) is_unipotent() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_unramified() (sage.schemes.elliptic_curves.gal_reps.GaloisRepresentation method) is_weierstrass() (sage.schemes.hyperelliptic_curves.hyperelliptic_padic_field.HyperellipticCurve_padic_field method) is_x_coord() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) (sage.schemes.hyperelliptic_curves.hyperelliptic_generic.HyperellipticCurve_generic method) is_zero() (sage.schemes.elliptic_curves.hom.EllipticCurveHom method) isogenies() (sage.schemes.elliptic_curves.isogeny_class.IsogenyClass_EC method) isogenies_13_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_13_1728() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_2() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_3() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_5_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_5_1728() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_7_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_7_1728() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_degree() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) isogenies_prime_degree() (in module sage.schemes.elliptic_curves.isogeny_small_degree) (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) isogenies_prime_degree_general() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_prime_degree_genus_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_prime_degree_genus_plus_0() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_prime_degree_genus_plus_0_j0() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_prime_degree_genus_plus_0_j1728() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogenies_sporadic_Q() (in module sage.schemes.elliptic_curves.isogeny_small_degree) isogeny() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) isogeny_bound() (sage.schemes.elliptic_curves.gal_reps_number_field.GaloisRepresentation method) isogeny_class() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) isogeny_codomain() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) isogeny_codomain_from_kernel() (in module sage.schemes.elliptic_curves.ell_curve_isogeny) isogeny_degree() (sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field method) (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) isogeny_degrees_cm() (in module sage.schemes.elliptic_curves.isogeny_class) isogeny_ell_graph() (sage.schemes.elliptic_curves.ell_field.EllipticCurve_field method) isogeny_graph() (sage.schemes.elliptic_curves.ell_rational_field.EllipticCurve_rational_field method) IsogenyClass_EC (class in sage.schemes.elliptic_curves.isogeny_class) IsogenyClass_EC_NumberField (class in sage.schemes.elliptic_curves.isogeny_class) IsogenyClass_EC_Rational (class in sage.schemes.elliptic_curves.isogeny_class) isomorphism() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) isomorphism_to() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method) isomorphisms() (sage.schemes.elliptic_curves.ell_generic.EllipticCurve_generic method)