Search Filter Category: abvar af ag alg artin av belyi bio character content crystals curve data dc doc dq ec field g2c gg gl2 group hecke-algebra hecke_algebra hgm intro lattice lf lfunction mf mot mwf nf repn sage specialfunction st st_group test uploader users varieties zeros ring clear category filter Quality:  Beta:   Ok:   Reviewed: More Recently modified Knowls
 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.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.6.6.300125.1-1.1-a2.top Elliptic curve 1.1-a2 over 6.6.300125.1 ec.2.0.11.1-11.1-a1.top Elliptic curve 11.1-a1 over $\mathbb{Q}(\sqrt{-11})$ ec.q.2450.a1.top Elliptic curve 2450.a1 ec.q.37.a1.bottom Elliptic Curve 37a1 ec.q.66.c4.bottom Elliptic curve 66.c4 ec.q.858.k1.bottom Elliptic curve 858.k1 ec.invariants Elliptic curve invariants ec.q.invariants Elliptic curve invariants ec.q.189.b1.top Elliptic curve with label 189.b1 ec.endomorphism Endomorphism of an elliptic curve ec.q.endomorphism_ring Endomorphism ring of an elliptic curve ec.endomorphism_ring Endomorphism ring of an elliptic curve ec.q.4650.f1.top Example of a triple of 9-congruent elliptic curves ec.q.47775.bn1.top Example of a triple of 9-congruent elliptic curves ec.q.27606.c1.top Example of a triple of 9-congruent elliptic curves ec.q.358878.n1.top Example of a triple of 9-congruent elliptic curves ec.q.galois_rep_image_exc Exceptional case F ec.q.52.a1.top First example of a congruence modulo 13 ec.q.988.c1.top First example of a congruence modulo 13 ec.q.47775.be1.top First example of a congruence modulo 17 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 H ec.q.5077.a1.top Historical information for 5077a1 (the Gauss elliptic curve) I ec.conductor_norm Ideal norm of conductor ec.q.galois_rep_image Image of mod p Galois Representation ec.q.234446.a1.top Information for elliptic curve 234446.a1 ec.q.2450.i1.top Information for elliptic curve 2450.i1 ec.q.389.a1.top Information for elliptic curve 389.a1 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.q.kodaira_symbol Kodaira symbol ec.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.3675.g1.top Minimal 17-congruence ec.q.47775.be1 Minimal 17-congruence ec.minimal_discriminant Minimal discriminant ec.minimal_discriminant_norm Minimal discriminant norm ec.q.minimal_weierstrass_equation Minimal Weierstrass equation over $\mathbb Q$ ec.q.11.a2.top Modular curve $X_0(11)$ ec.q.14.a6.top Modular curve $X_0(14)$ ec.q.15.a5.top Modular curve $X_0(15)$ ec.q.17.a3.top Modular curve $X_0(17)$ ec.q.19.a2.top Modular curve $X_0(19)$ ec.q.20.a4.top Modular curve $X_0(20)$ ec.q.21.a5.top Modular curve $X_0(21)$ ec.q.24.a4.top Modular curve $X_0(24)$ ec.q.27.a3.top Modular curve $X_0(27)$ ec.q.32.a4.top Modular curve $X_0(32)$ ec.q.36.a4.top Modular curve $X_0(36)$ ec.q.49.a4.top Modular curve $X_0(49)$ ec.q.11.a3.top Modular curve $X_1(11)$ ec.q.14.a5.top Modular curve $X_1(14)$ ec.q.15.a7.top Modular curve $X_1(15)$ 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 Mordell-Weil group ec.q.mordell-weil Mordell-Weil group of an elliptic curve over a number field ec.mordell-weil 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.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.q.21168.ce2.top secp256k1 elliptic curve 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_generators Torsion generators of an elliptic curve over $\mathbb Q$ ec.q.torsion_growth Torsion growth in number fields ec.field.torsion_order Torsion order of an elliptic curve ec.torsion_order Torsion order of an elliptic curve ec.q.torsion_order Torsion order of an elliptic curve over $\mathbb{Q}$ 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.162.c3.top ec.q_curve $\mathbb{Q}$-curves