LMFDB - Elliptic curve search results

Refine search

Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

		Sort order	Select

Results (20 matches)

Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
13860.c1	13860a1	13860.c	13860a	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$24960$	$1.102371$	$10392086293512192/1684375$	$1.10844$	$4.50344$	$[0, 0, 0, -34368, 2452333]$	$y^2=x^3-34368x+2452333$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
13860.r1	13860e1	13860.r	13860e	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$74880$	$1.651678$	$10392086293512192/1684375$	$1.10844$	$5.19463$	$[0, 0, 0, -309312, -66212991]$	$y^2=x^3-309312x-66212991$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
55440.ck1	55440cc1	55440.ck	55440cc	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$9$	$3$	$1$	$99840$	$1.102371$	$10392086293512192/1684375$	$1.10844$	$3.93189$	$[0, 0, 0, -34368, -2452333]$	$y^2=x^3-34368x-2452333$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
55440.em1	55440cl1	55440.em	55440cl	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$299520$	$1.651678$	$10392086293512192/1684375$	$1.10844$	$4.53535$	$[0, 0, 0, -309312, 66212991]$	$y^2=x^3-309312x+66212991$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
69300.bn1	69300j1	69300.bn	69300j	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$0.947570864$	$1$		$5$	$599040$	$1.907091$	$10392086293512192/1684375$	$1.10844$	$4.71953$	$[0, 0, 0, -859200, 306541625]$	$y^2=x^3-859200x+306541625$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(670, 5625)]$
69300.ca1	69300l1	69300.ca	69300l	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{11} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$1797120$	$2.456398$	$10392086293512192/1684375$	$1.10844$	$5.31092$	$[0, 0, 0, -7732800, -8276623875]$	$y^2=x^3-7732800x-8276623875$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
97020.o1	97020n1	97020.o	97020n	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 7^{8} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$3594240$	$2.624634$	$10392086293512192/1684375$	$1.10844$	$5.33111$	$[0, 0, 0, -15156288, 22711055913]$	$y^2=x^3-15156288x+22711055913$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
97020.bp1	97020v1	97020.bp	97020v	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7^{8} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$1198080$	$2.075325$	$10392086293512192/1684375$	$1.10844$	$4.75706$	$[0, 0, 0, -1684032, -841150219]$	$y^2=x^3-1684032x-841150219$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
152460.p1	152460br1	152460.p	152460br	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} $	$ 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7^{2} \cdot 11^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$2995200$	$2.301319$	$10392086293512192/1684375$	$1.10844$	$4.80413$	$[0, 0, 0, -4158528, -3264055223]$	$y^2=x^3-4158528x-3264055223$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
152460.bp1	152460bf1	152460.bp	152460bf	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} $	$ 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 7^{2} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.643065191$	$1$		$3$	$8985600$	$2.850624$	$10392086293512192/1684375$	$1.10844$	$5.35644$	$[0, 0, 0, -37426752, 88129491021]$	$y^2=x^3-37426752x+88129491021$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(11847, 1143450)]$
221760.f1	221760ns1	221760.f	221760ns	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{9} \cdot 5^{5} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$18.29405254$	$1$		$1$	$2396160$	$1.998251$	$10392086293512192/1684375$	$1.10844$	$4.36244$	$[0, 0, 0, -1237248, -529703928]$	$y^2=x^3-1237248x-529703928$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(133133074/259, 1207725624748/259)]$
221760.fb1	221760gr1	221760.fb	221760gr	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{9} \cdot 5^{5} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$2396160$	$1.998251$	$10392086293512192/1684375$	$1.10844$	$4.36244$	$[0, 0, 0, -1237248, 529703928]$	$y^2=x^3-1237248x+529703928$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
221760.hz1	221760mx1	221760.hz	221760mx	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{3} \cdot 5^{5} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$0.610544582$	$1$		$7$	$798720$	$1.448946$	$10392086293512192/1684375$	$1.10844$	$3.82694$	$[0, 0, 0, -137472, 19618664]$	$y^2=x^3-137472x+19618664$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(218, 100)]$
221760.ki1	221760fs1	221760.ki	221760fs	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 $	$ 2^{10} \cdot 3^{3} \cdot 5^{5} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$798720$	$1.448946$	$10392086293512192/1684375$	$1.10844$	$3.82694$	$[0, 0, 0, -137472, -19618664]$	$y^2=x^3-137472x-19618664$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
277200.b1	277200b1	277200.b	277200b	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{11} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$1$		$1$	$7188480$	$2.456398$	$10392086293512192/1684375$	$1.10844$	$4.72344$	$[0, 0, 0, -7732800, 8276623875]$	$y^2=x^3-7732800x+8276623875$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$
277200.dx1	277200dx1	277200.dx	277200dx	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$10.87681842$	$1$		$1$	$2396160$	$1.907091$	$10392086293512192/1684375$	$1.10844$	$4.19748$	$[0, 0, 0, -859200, -306541625]$	$y^2=x^3-859200x-306541625$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(2438045/43, 2322183750/43)]$
388080.c1	388080c1	388080.c	388080c	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{5} \cdot 7^{8} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$26.04174296$	$1$		$1$	$14376960$	$2.624634$	$10392086293512192/1684375$	$1.10844$	$4.75682$	$[0, 0, 0, -15156288, -22711055913]$	$y^2=x^3-15156288x-22711055913$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(3778211352433/752, 7343943029563358071/752)]$
388080.mb1	388080mb1	388080.mb	388080mb	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{5} \cdot 7^{8} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1.847422485$	$1$		$3$	$4792320$	$2.075325$	$10392086293512192/1684375$	$1.10844$	$4.24461$	$[0, 0, 0, -1684032, 841150219]$	$y^2=x^3-1684032x+841150219$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(413, 14700)]$
485100.dj1	485100dj1	485100.dj	485100dj	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 7^{8} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$12.70589418$	$1$		$1$	$28753920$	$2.880047$	$10392086293512192/1684375$	$1.10844$	$4.90985$	$[0, 0, 0, -42100800, -105143777375]$	$y^2=x^3-42100800x-105143777375$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[(6045921/4, 14863779119/4)]$
485100.iz1	485100iz1	485100.iz	485100iz	$2$	$2$	$ 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ 2^{4} \cdot 3^{9} \cdot 5^{11} \cdot 7^{8} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$4620$	$12$	$0$	$1$	$4$	$2$	$1$	$86261760$	$3.429352$	$10392086293512192/1684375$	$1.10844$	$5.41334$	$[0, 0, 0, -378907200, 2838881989125]$	$y^2=x^3-378907200x+2838881989125$	2.3.0.a.1, 84.6.0.?, 330.6.0.?, 1540.6.0.?, 4620.12.0.?	$[]$

Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (20 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (20 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search