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 (24 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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
1935.b2	1935b1	1935.b	1935b	$2$	$2$	$ 3^{2} \cdot 5 \cdot 43 $	$ 3^{3} \cdot 5^{2} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.517859824$	$1$	$9$	$128$	$-0.454167$	$1860867/1075$	$0.91503$	$2.34312$	$[1, -1, 1, -8, 2]$	$y^2+xy+y=x^3-x^2-8x+2$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(0, 1)]$
1935.h2	1935d1	1935.h	1935d	$2$	$2$	$ 3^{2} \cdot 5 \cdot 43 $	$ 3^{9} \cdot 5^{2} \cdot 43 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$384$	$0.095139$	$1860867/1075$	$0.91503$	$3.21413$	$[1, -1, 0, -69, 8]$	$y^2+xy=x^3-x^2-69x+8$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
9675.h2	9675e1	9675.h	9675e	$2$	$2$	$ 3^{2} \cdot 5^{2} \cdot 43 $	$ 3^{9} \cdot 5^{8} \cdot 43 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$9216$	$0.899858$	$1860867/1075$	$0.91503$	$3.70269$	$[1, -1, 1, -1730, -728]$	$y^2+xy+y=x^3-x^2-1730x-728$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
9675.v2	9675b1	9675.v	9675b	$2$	$2$	$ 3^{2} \cdot 5^{2} \cdot 43 $	$ 3^{3} \cdot 5^{8} \cdot 43 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$3072$	$0.350552$	$1860867/1075$	$0.91503$	$2.98443$	$[1, -1, 0, -192, 91]$	$y^2+xy=x^3-x^2-192x+91$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
30960.y2	30960v1	30960.y	30960v	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 $	$ 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$0.940134228$	$1$	$7$	$8192$	$0.238980$	$1860867/1075$	$0.91503$	$2.51925$	$[0, 0, 0, -123, -22]$	$y^2=x^3-123x-22$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-1, 10)]$
30960.cc2	30960bb1	30960.cc	30960bb	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 43 $	$ 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 43 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$24576$	$0.788286$	$1860867/1075$	$0.91503$	$3.15671$	$[0, 0, 0, -1107, 594]$	$y^2=x^3-1107x+594$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
83205.h2	83205c1	83205.h	83205c	$2$	$2$	$ 3^{2} \cdot 5 \cdot 43^{2} $	$ 3^{9} \cdot 5^{2} \cdot 43^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$709632$	$1.975739$	$1860867/1075$	$0.91503$	$4.13902$	$[1, -1, 1, -127928, 769906]$	$y^2+xy+y=x^3-x^2-127928x+769906$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
83205.v2	83205g1	83205.v	83205g	$2$	$2$	$ 3^{2} \cdot 5 \cdot 43^{2} $	$ 3^{3} \cdot 5^{2} \cdot 43^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$5.358237151$	$1$	$1$	$236544$	$1.426434$	$1860867/1075$	$0.91503$	$3.55719$	$[1, -1, 0, -14214, -23777]$	$y^2+xy=x^3-x^2-14214x-23777$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-381/14, 172775/14)]$
94815.k2	94815f1	94815.k	94815f	$2$	$2$	$ 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 $	$ 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.696158314$	$1$	$5$	$36864$	$0.518788$	$1860867/1075$	$0.91503$	$2.56620$	$[1, -1, 1, -377, -24]$	$y^2+xy+y=x^3-x^2-377x-24$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-4, 39)]$
94815.bg2	94815b1	94815.bg	94815b	$2$	$2$	$ 3^{2} \cdot 5 \cdot 7^{2} \cdot 43 $	$ 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 43 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$8.957999392$	$1$	$5$	$110592$	$1.068094$	$1860867/1075$	$0.91503$	$3.14141$	$[1, -1, 0, -3390, 4031]$	$y^2+xy=x^3-x^2-3390x+4031$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-50, 241), (-22, 271)]$
123840.h2	123840o1	123840.h	123840o	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 $	$ 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 43 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.811342016$	$1$	$13$	$196608$	$1.134859$	$1860867/1075$	$0.91503$	$3.13819$	$[0, 0, 0, -4428, -4752]$	$y^2=x^3-4428x-4752$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(94, 640), (-2, 64)]$
123840.dj2	123840dq1	123840.dj	123840dq	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 $	$ 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 43 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$196608$	$1.134859$	$1860867/1075$	$0.91503$	$3.13819$	$[0, 0, 0, -4428, 4752]$	$y^2=x^3-4428x+4752$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
123840.dw2	123840bd1	123840.dw	123840bd	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 $	$ 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1.207013634$	$1$	$7$	$65536$	$0.585553$	$1860867/1075$	$0.91503$	$2.57608$	$[0, 0, 0, -492, 176]$	$y^2=x^3-492x+176$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-8, 60)]$
123840.gg2	123840eb1	123840.gg	123840eb	$2$	$2$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 43 $	$ 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.113613081$	$1$	$5$	$65536$	$0.585553$	$1860867/1075$	$0.91503$	$2.57608$	$[0, 0, 0, -492, -176]$	$y^2=x^3-492x-176$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-16, 60)]$
154800.m2	154800dx1	154800.m	154800dx	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 $	$ 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 43 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.310279647$	$1$	$15$	$589824$	$1.593004$	$1860867/1075$	$0.91503$	$3.53965$	$[0, 0, 0, -27675, 74250]$	$y^2=x^3-27675x+74250$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-35, 1000), (-155, 800)]$
154800.n2	154800dy1	154800.n	154800dy	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 43 $	$ 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 43 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.019171404$	$1$	$17$	$196608$	$1.043699$	$1860867/1075$	$0.91503$	$2.98804$	$[0, 0, 0, -3075, -2750]$	$y^2=x^3-3075x-2750$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(95, 750), (-30, 250)]$
234135.l2	234135l1	234135.l	234135l	$2$	$2$	$ 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 $	$ 3^{9} \cdot 5^{2} \cdot 11^{6} \cdot 43 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$552960$	$1.294086$	$1860867/1075$	$0.91503$	$3.13107$	$[1, -1, 1, -8372, 14446]$	$y^2+xy+y=x^3-x^2-8372x+14446$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
234135.bc2	234135bc1	234135.bc	234135bc	$2$	$2$	$ 3^{2} \cdot 5 \cdot 11^{2} \cdot 43 $	$ 3^{3} \cdot 5^{2} \cdot 11^{6} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$5.152095271$	$1$	$1$	$184320$	$0.744781$	$1860867/1075$	$0.91503$	$2.59792$	$[1, -1, 0, -930, -225]$	$y^2+xy=x^3-x^2-930x-225$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(615/2, 14295/2)]$
327015.m2	327015m1	327015.m	327015m	$2$	$2$	$ 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 $	$ 3^{9} \cdot 5^{2} \cdot 13^{6} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$2.308365816$	$1$	$3$	$884736$	$1.377613$	$1860867/1075$	$0.91503$	$3.12762$	$[1, -1, 1, -11693, -17468]$	$y^2+xy+y=x^3-x^2-11693x-17468$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(-55, 703)]$
327015.bg2	327015bg1	327015.bg	327015bg	$2$	$2$	$ 3^{2} \cdot 5 \cdot 13^{2} \cdot 43 $	$ 3^{3} \cdot 5^{2} \cdot 13^{6} \cdot 43 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$294912$	$0.828307$	$1860867/1075$	$0.91503$	$2.60850$	$[1, -1, 0, -1299, 1080]$	$y^2+xy=x^3-x^2-1299x+1080$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
416025.h2	416025h1	416025.h	416025h	$2$	$2$	$ 3^{2} \cdot 5^{2} \cdot 43^{2} $	$ 3^{3} \cdot 5^{8} \cdot 43^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$5677056$	$2.231152$	$1860867/1075$	$0.91503$	$3.86105$	$[1, -1, 1, -355355, -3327478]$	$y^2+xy+y=x^3-x^2-355355x-3327478$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
416025.bk2	416025bk1	416025.bk	416025bk	$2$	$2$	$ 3^{2} \cdot 5^{2} \cdot 43^{2} $	$ 3^{9} \cdot 5^{8} \cdot 43^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$1$	$1$	$1$	$17031168$	$2.780457$	$1860867/1075$	$0.91503$	$4.37051$	$[1, -1, 0, -3198192, 93040091]$	$y^2+xy=x^3-x^2-3198192x+93040091$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[]$
474075.z2	474075z1	474075.z	474075z	$2$	$2$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 3^{9} \cdot 5^{8} \cdot 7^{6} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$4.178939418$	$1$	$5$	$2654208$	$1.872812$	$1860867/1075$	$0.91503$	$3.49344$	$[1, -1, 1, -84755, 419122]$	$y^2+xy+y=x^3-x^2-84755x+419122$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(338, 3040)]$
474075.db2	474075db1	474075.db	474075db	$2$	$2$	$ 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 43 $	$ 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 43 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$2580$	$12$	$0$	$3.001882815$	$1$	$3$	$884736$	$1.323507$	$1860867/1075$	$0.91503$	$2.98907$	$[1, -1, 0, -9417, -12384]$	$y^2+xy=x^3-x^2-9417x-12384$	2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.?	$[(100, 146)]$

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 (24 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 (24 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