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 A ec.additive_reduction Additive reduction ec.q.analytic_sha_order Analytic order of Ш ec.q.analytic_sha_value Analytic order of Sha (numerical value) B ec.bad_reduction Bad reduction of an elliptic curve at a prime ec.base_change Base change ec.q.bsdconjecture Birch and Swinnerton-Dyer conjecture ec.q.bsd_invariants Birch and Swinnerton-Dyer invariants of an elliptic curve/$\mathbb{Q}$ ec.q.galois_rep_image_borel Borel case C ec.q.canonical_height Canonical height ec.canonical_height Canonical height on an elliptic curve ec.complex_multiplication Complex multiplication ec.conductor_label Conductor labels for elliptic curves ec.conductor Conductor of an elliptic curve ec.q.conductor Conductor of an elliptic curve over $\Q$ ec.conductor_valuation Conductor valuation ec.q.cremona_label Cremona label D ec.discriminant Discriminant of a Weierstrass equation ec.q.discriminant Discriminant of an elliptic curve over $\Q$ ec.discriminant_valuation Discriminant valuation E ec.invariants Elliptic curve invariants ec.q.invariants Elliptic curve invariants ec.endomorphism Endomorphism of an elliptic curve ec.endomorphism_ring Endomorphism ring of an elliptic curve ec.q.endomorphism_ring Endomorphism ring of an elliptic curve ec.q.galois_rep_image_exc Exceptional case F ec.q.frey Frey curve G ec.galois_rep_image Galois representation image type codes ec.galois_rep Galois representations attached to an elliptic curve ec.global_minimal_model Global minimal model ec.good_ordinary_reduction Good ordinary reduction ec.good_reduction Good reduction ec.good_supersingular_reduction Good supersingular reduction I ec.q.galois_rep_image Image of mod p Galois Representation ec.integral_model Integral model ec.q.integral_points Integral points ec.isogeny Isogeny between elliptic curves ec.isogeny_class Isogeny class of an elliptic curve ec.isogeny_graph Isogeny graph of an isogeny class of elliptic curves ec.isogeny_matrix Isogeny matrix of an isogeny class of elliptic curves ec.weierstrass_isomorphism Isomorphism between Weierstrass models ec.isomorphism Isomorphism of elliptic curves ec.iwasawa_invariants Iwasawa invariants of elliptic curves J ec.j_invariant_denominator_valuation j-invariant denominator valuation ec.q.j_invariant j-invariant of a rational elliptic curve ec.j_invariant j-invariant of an elliptic curve K ec.kodaira_symbol Kodaira symbol ec.q.kodaira_symbol Kodaira symbol L ec.q.lmfdb_label Label for an elliptic curve over $\mathbb Q$ ec.curve_label Labels of elliptic curves over number fields ec.lambda_invariant lambda-invariant of an elliptic curve ec.local_data Local data of an elliptic curve ec.local_minimal_discriminant Local minimal discriminant of an elliptic curve ec.local_minimal_model Local minimal model ec.local_root_number Local root number M ec.maximal_galois_rep Maximal Galois representation ec.q.47775.be1 Minimal 17-congruence ec.minimal_discriminant Minimal discriminant ec.q.minimal_weierstrass_equation Minimal Weierstrass equation over $\mathbb Q$ ec.q.modular_degree Modular degree of an elliptic curve over $\mathbb Q$ ec.q.modular_form Modular form associated to an elliptic curve/$\mathbb Q$ ec.q.modular_parametrization Modular parametrization of an elliptic curve over $\mathbb Q$ ec.mordell_weil_group Mordell-Weil group ec.mordell_weil_theorem Mordell-Weil theorem ec.mu_invariant mu-invariant of an elliptic curve ec.multiplicative_reduction Multiplicative reduction N ec.q.galois_rep_image_nsp_cartan Non-split Cartan case ec.nonsplit_multiplicative_reduction Non-split multiplicative reduction ec.q.non-surjective_prime Non-surjective prime ec.discriminant_norm Norm of discriminant ec.q.galois_rep_image_norm_nsp_cartan Normalizer of the nonsplit Cartan case ec.q.galois_rep_image_norm_sp_cartan Normalizer of the split Cartan case O ec.obstruction_class Obstruction class of an elliptic curve ec.q.optimal Optimal elliptic curve over $\mathbb Q$ R ec.q.real_period Real period ec.reduction_type Reduction type ec.q.reduction_type Reduction type of an elliptic curve over $\mathbb Q$ ec.regulator Regulator of an elliptic curve ec.q.regulator Regulator of elliptic curve ec.roadmap Roadmap for elliptic curves ec.q.rouse_classification Rouse classification ec.rouse_label Rouse label S ec.semi_global_minimal_model Semi-global minimal model ec.q.special_value Special value of an elliptic curve L-function ec.q.galois_rep_image_sp_cartan Split Cartan case ec.split_multiplicative_reduction Split multiplicative reduction ec.q.surjective_prime Surjective prime T ec.tamagawa_number Tamagawa number ec.q.tamagawa_numbers Tamagawa numbers for an elliptic curve ec.padic_tate_module Tate module of an elliptic curve ec.q.torsion_growth Torsion growth in number fields ec.torsion_order Torsion order of an elliptic curve ec.torsion_subgroup Torsion subgroup of an elliptic curve ec.q.torsion_subgroup Torsion subgroup of an elliptic curve over $\mathbb Q$ W ec.weierstrass_coeffs Weierstrass equation or model ec.q.weil_height Weil height of a point on an elliptic curve over $\Q$ ? ec.q_curve $\mathbb{Q}$-curves