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
24960.k2	24960b1	24960.k	24960b	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 13 $	$ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.679147774$	$1$		$5$	$7680$	$0.218765$	$45234335104/8775$	$0.89703$	$2.97089$	$[0, -1, 0, -471, 4095]$	$y^2=x^3-x^2-471x+4095$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(14, 7)]$
24960.n1	24960k2	24960.n	24960k	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 13 $	$ 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.616613883$	$1$		$3$	$15360$	$0.565338$	$45234335104/8775$	$0.89703$	$3.38164$	$[0, -1, 0, -1885, -30875]$	$y^2=x^3-x^2-1885x-30875$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(615, 15200)]$
24960.bc2	24960bo1	24960.bc	24960bo	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 13 $	$ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.801854951$	$1$		$3$	$7680$	$0.218765$	$45234335104/8775$	$0.89703$	$2.97089$	$[0, 1, 0, -471, -4095]$	$y^2=x^3+x^2-471x-4095$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(27, 60)]$
24960.bz1	24960u2	24960.bz	24960u	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 13 $	$ 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$15360$	$0.565338$	$45234335104/8775$	$0.89703$	$3.38164$	$[0, 1, 0, -1885, 30875]$	$y^2=x^3+x^2-1885x+30875$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$
74880.l1	74880di2	74880.l	74880di	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$122880$	$1.114645$	$45234335104/8775$	$0.89703$	$3.63793$	$[0, 0, 0, -16968, 850592]$	$y^2=x^3-16968x+850592$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$
74880.bl1	74880dg2	74880.bl	74880dg	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$122880$	$1.114645$	$45234335104/8775$	$0.89703$	$3.63793$	$[0, 0, 0, -16968, -850592]$	$y^2=x^3-16968x-850592$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$
74880.bw2	74880bq1	74880.bw	74880bq	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.743879917$	$1$		$7$	$61440$	$0.768071$	$45234335104/8775$	$0.89703$	$3.26739$	$[0, 0, 0, -4242, 106324]$	$y^2=x^3-4242x+106324$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(8, 270)]$
74880.dq2	74880dk1	74880.dq	74880dk	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5 \cdot 13 $	$ 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$1$	$61440$	$0.768071$	$45234335104/8775$	$0.89703$	$3.26739$	$[0, 0, 0, -4242, -106324]$	$y^2=x^3-4242x-106324$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$
124800.j1	124800dm2	124800.j	124800dm	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 $	$ 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$368640$	$1.370058$	$45234335104/8775$	$0.89703$	$3.74076$	$[0, -1, 0, -47133, 3953637]$	$y^2=x^3-x^2-47133x+3953637$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$
124800.ct2	124800y1	124800.ct	124800y	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 $	$ 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$1$	$184320$	$1.023483$	$45234335104/8775$	$0.89703$	$3.38634$	$[0, -1, 0, -11783, -488313]$	$y^2=x^3-x^2-11783x-488313$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$
124800.cy2	124800fc1	124800.cy	124800fc	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 $	$ 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 13 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1.847181251$	$1$		$17$	$184320$	$1.023483$	$45234335104/8775$	$0.89703$	$3.38634$	$[0, 1, 0, -11783, 488313]$	$y^2=x^3+x^2-11783x+488313$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(73, 150), (64, 21)]$
124800.fi1	124800es2	124800.fi	124800es	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 $	$ 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.837181360$	$1$		$1$	$368640$	$1.370058$	$45234335104/8775$	$0.89703$	$3.74076$	$[0, 1, 0, -47133, -3953637]$	$y^2=x^3+x^2-47133x-3953637$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(-499/2, 147/2)]$
324480.bo1	324480bo2	324480.bo	324480bo	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 13^{2} $	$ 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$4$	$2$	$1$	$2580480$	$1.847813$	$45234335104/8775$	$0.89703$	$3.91087$	$[0, -1, 0, -318621, -69106779]$	$y^2=x^3-x^2-318621x-69106779$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$
324480.bw2	324480bw1	324480.bw	324480bw	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 13^{2} $	$ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$4.709978736$	$1$		$3$	$1290240$	$1.501240$	$45234335104/8775$	$0.89703$	$3.58314$	$[0, -1, 0, -79655, 8678175]$	$y^2=x^3-x^2-79655x+8678175$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(415, 6850)]$
324480.de1	324480de2	324480.de	324480de	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 13^{2} $	$ 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$0.801145923$	$1$		$7$	$2580480$	$1.847813$	$45234335104/8775$	$0.89703$	$3.91087$	$[0, 1, 0, -318621, 69106779]$	$y^2=x^3+x^2-318621x+69106779$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(342, 507)]$
324480.ga2	324480ga1	324480.ga	324480ga	$2$	$2$	$ 2^{7} \cdot 3 \cdot 5 \cdot 13^{2} $	$ 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$7.142700854$	$1$		$3$	$1290240$	$1.501240$	$45234335104/8775$	$0.89703$	$3.58314$	$[0, 1, 0, -79655, -8678175]$	$y^2=x^3+x^2-79655x-8678175$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(107995, 35490000)]$
374400.f1	374400f2	374400.f	374400f	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 13 $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$15.97502543$	$1$		$5$	$2949120$	$1.919363$	$45234335104/8775$	$0.89703$	$3.93417$	$[0, 0, 0, -424200, -106324000]$	$y^2=x^3-424200x-106324000$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(1060, 25200), (3620, 214000)]$
374400.cc2	374400cc1	374400.cc	374400cc	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 13 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$3.858458029$	$1$		$5$	$1474560$	$1.572790$	$45234335104/8775$	$0.89703$	$3.61009$	$[0, 0, 0, -106050, -13290500]$	$y^2=x^3-106050x-13290500$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[(-189, 41)]$
374400.jp2	374400jp1	374400.jp	374400jp	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$1474560$	$1.572790$	$45234335104/8775$	$0.89703$	$3.61009$	$[0, 0, 0, -106050, 13290500]$	$y^2=x^3-106050x+13290500$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$
374400.le1	374400le2	374400.le	374400le	$2$	$2$	$ 2^{7} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 13 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$1560$	$12$	$0$	$1$	$1$		$1$	$2949120$	$1.919363$	$45234335104/8775$	$0.89703$	$3.93417$	$[0, 0, 0, -424200, 106324000]$	$y^2=x^3-424200x+106324000$	2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.?	$[ ]$

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