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	Manin constant

		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
9016.f2	9016d2	9016.f	9016d	$2$	$2$	$ 2^{3} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$21504$	$1.244226$	$275684/529$	$0.79078$	$4.15202$	$[0, 1, 0, 4688, 189552]$	$y^2=x^3+x^2+4688x+189552$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$
9016.l2	9016c2	9016.l	9016c	$2$	$2$	$ 2^{3} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 7^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$3072$	$0.271272$	$275684/529$	$0.79078$	$2.86995$	$[0, -1, 0, 96, -580]$	$y^2=x^3-x^2+96x-580$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$
18032.e2	18032n2	18032.e	18032n	$2$	$2$	$ 2^{4} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 7^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$0.647364757$	$1$		$7$	$6144$	$0.271272$	$275684/529$	$0.79078$	$2.66696$	$[0, 1, 0, 96, 580]$	$y^2=x^3+x^2+96x+580$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(2, 28)]$
18032.y2	18032l2	18032.y	18032l	$2$	$2$	$ 2^{4} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 7^{9} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$5.807256253$	$1$		$1$	$43008$	$1.244226$	$275684/529$	$0.79078$	$3.85835$	$[0, -1, 0, 4688, -189552]$	$y^2=x^3-x^2+4688x-189552$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(1824/7, 64308/7)]$
72128.g2	72128ce2	72128.g	72128ce	$2$	$2$	$ 2^{6} \cdot 7^{2} \cdot 23 $	$ - 2^{16} \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$344064$	$1.590799$	$275684/529$	$0.79078$	$3.75197$	$[0, 1, 0, 18751, -1497665]$	$y^2=x^3+x^2+18751x-1497665$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$
72128.r2	72128i2	72128.r	72128i	$2$	$2$	$ 2^{6} \cdot 7^{2} \cdot 23 $	$ - 2^{16} \cdot 7^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.617846$	$275684/529$	$0.79078$	$2.70823$	$[0, 1, 0, 383, -4257]$	$y^2=x^3+x^2+383x-4257$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$
72128.bu2	72128g2	72128.bu	72128g	$2$	$2$	$ 2^{6} \cdot 7^{2} \cdot 23 $	$ - 2^{16} \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$344064$	$1.590799$	$275684/529$	$0.79078$	$3.75197$	$[0, -1, 0, 18751, 1497665]$	$y^2=x^3-x^2+18751x+1497665$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$
72128.bz2	72128cb2	72128.bz	72128cb	$2$	$2$	$ 2^{6} \cdot 7^{2} \cdot 23 $	$ - 2^{16} \cdot 7^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$49152$	$0.617846$	$275684/529$	$0.79078$	$2.70823$	$[0, -1, 0, 383, 4257]$	$y^2=x^3-x^2+383x+4257$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$
81144.s2	81144cc2	81144.s	81144cc	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{6} \cdot 7^{9} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$8.411025226$	$1$		$1$	$516096$	$1.793533$	$275684/529$	$0.79078$	$3.92809$	$[0, 0, 0, 42189, -5075714]$	$y^2=x^3+42189x-5075714$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(9339/5, 990688/5)]$
81144.bs2	81144bz2	81144.bs	81144bz	$2$	$2$	$ 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{6} \cdot 7^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$2.759515746$	$1$		$3$	$73728$	$0.820578$	$275684/529$	$0.79078$	$2.89523$	$[0, 0, 0, 861, 14798]$	$y^2=x^3+861x+14798$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(11, 160)]$
162288.bf2	162288eu2	162288.bf	162288eu	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{6} \cdot 7^{9} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$2.091097132$	$1$		$5$	$1032192$	$1.793533$	$275684/529$	$0.79078$	$3.70114$	$[0, 0, 0, 42189, 5075714]$	$y^2=x^3+42189x+5075714$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(245, 5488)]$
162288.er2	162288fo2	162288.er	162288fo	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 3^{6} \cdot 7^{3} \cdot 23^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1.763654280$	$1$		$5$	$147456$	$0.820578$	$275684/529$	$0.79078$	$2.72796$	$[0, 0, 0, 861, -14798]$	$y^2=x^3+861x-14798$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(21, 112)]$
207368.e2	207368p2	207368.e	207368p	$2$	$2$	$ 2^{3} \cdot 7^{2} \cdot 23^{2} $	$ - 2^{10} \cdot 7^{9} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$11.92416116$	$1$		$1$	$11354112$	$2.811974$	$275684/529$	$0.79078$	$4.62533$	$[0, 1, 0, 2479776, -2286440528]$	$y^2=x^3+x^2+2479776x-2286440528$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(15919691/29, 63729164290/29)]$
207368.bd2	207368bf2	207368.bd	207368bf	$2$	$2$	$ 2^{3} \cdot 7^{2} \cdot 23^{2} $	$ - 2^{10} \cdot 7^{3} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$14.48514066$	$1$		$1$	$1622016$	$1.839018$	$275684/529$	$0.79078$	$3.67162$	$[0, -1, 0, 50608, 6651548]$	$y^2=x^3-x^2+50608x+6651548$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(10855381/610, 648066632829/610)]$
225400.g2	225400g2	225400.g	225400g	$2$	$2$	$ 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 5^{6} \cdot 7^{3} \cdot 23^{2} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$5.020259077$	$1$		$11$	$393216$	$1.075991$	$275684/529$	$0.79078$	$2.90392$	$[0, 1, 0, 2392, -67712]$	$y^2=x^3+x^2+2392x-67712$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(48, 400), (24, 64)]$
225400.cf2	225400be2	225400.cf	225400be	$2$	$2$	$ 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 5^{6} \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$4$	$2$	$1$	$2752512$	$2.048946$	$275684/529$	$0.79078$	$3.85117$	$[0, -1, 0, 117192, 23459612]$	$y^2=x^3-x^2+117192x+23459612$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$
414736.j2	414736j2	414736.j	414736j	$2$	$2$	$ 2^{4} \cdot 7^{2} \cdot 23^{2} $	$ - 2^{10} \cdot 7^{3} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1.975629042$	$1$		$3$	$3244032$	$1.839018$	$275684/529$	$0.79078$	$3.47488$	$[0, 1, 0, 50608, -6651548]$	$y^2=x^3+x^2+50608x-6651548$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(314, 6348)]$
414736.bu2	414736bu2	414736.bu	414736bu	$2$	$2$	$ 2^{4} \cdot 7^{2} \cdot 23^{2} $	$ - 2^{10} \cdot 7^{9} \cdot 23^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$13.98336731$	$1$		$1$	$22708224$	$2.811974$	$275684/529$	$0.79078$	$4.37748$	$[0, -1, 0, 2479776, 2286440528]$	$y^2=x^3-x^2+2479776x+2286440528$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[(-19940536/193, 204001949724/193)]$
450800.bt2	450800bt2	450800.bt	450800bt	$2$	$2$	$ 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 5^{6} \cdot 7^{9} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$5505024$	$2.048946$	$275684/529$	$0.79078$	$3.64612$	$[0, 1, 0, 117192, -23459612]$	$y^2=x^3+x^2+117192x-23459612$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$
450800.gp2	450800gp2	450800.gp	450800gp	$2$	$2$	$ 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 23 $	$ - 2^{10} \cdot 5^{6} \cdot 7^{3} \cdot 23^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$644$	$12$	$0$	$1$	$1$		$1$	$786432$	$1.075991$	$275684/529$	$0.79078$	$2.74930$	$[0, -1, 0, 2392, 67712]$	$y^2=x^3-x^2+2392x+67712$	2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?	$[ ]$

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 $\F_{q}$
Belyi maps

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