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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
11550.g2	11550m1	11550.g	11550m	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{2} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$0.546507085$	$1$	$9$	$3072$	$0.097611$	$296740963/174636$	$0.92280$	$2.60162$	$[1, 1, 0, 70, 0]$	$y^2+xy=x^3+x^2+70x$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(5, 20)]$
11550.ct2	11550ct1	11550.ct	11550ct	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{2} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$	$1$	$15360$	$0.902330$	$296740963/174636$	$0.92280$	$3.63392$	$[1, 0, 0, 1737, -3483]$	$y^2+xy=x^3+1737x-3483$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[]$
34650.bf2	34650bz1	34650.bf	34650bz	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{2} \cdot 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$	$1$	$122880$	$1.451637$	$296740963/174636$	$0.92280$	$3.88260$	$[1, -1, 0, 15633, 94041]$	$y^2+xy=x^3-x^2+15633x+94041$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[]$
34650.cr2	34650du1	34650.cr	34650du	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{2} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$	$1$	$24576$	$0.646917$	$296740963/174636$	$0.92280$	$2.95879$	$[1, -1, 1, 625, 627]$	$y^2+xy+y=x^3-x^2+625x+627$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[]$
80850.cs2	80850dd1	80850.cs	80850dd	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{2} \cdot 3^{4} \cdot 5^{3} \cdot 7^{8} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$0.744655510$	$1$	$9$	$147456$	$1.070566$	$296740963/174636$	$0.92280$	$3.18682$	$[1, 0, 1, 3404, 10238]$	$y^2+xy+y=x^3+3404x+10238$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(67, 701)]$
80850.fc2	80850ff1	80850.fc	80850ff	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{2} \cdot 3^{4} \cdot 5^{9} \cdot 7^{8} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$5.520132733$	$1$	$1$	$737280$	$1.875286$	$296740963/174636$	$0.92280$	$4.04136$	$[1, 1, 1, 85112, 1279781]$	$y^2+xy+y=x^3+x^2+85112x+1279781$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(-151/5, 109683/5)]$
92400.i2	92400ex1	92400.i	92400ex	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1.977882903$	$1$	$5$	$368640$	$1.595478$	$296740963/174636$	$0.92280$	$3.70050$	$[0, -1, 0, 27792, 222912]$	$y^2=x^3-x^2+27792x+222912$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(117, 2250)]$
92400.hb2	92400if1	92400.hb	92400if	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$0.908258308$	$1$	$7$	$73728$	$0.790758$	$296740963/174636$	$0.92280$	$2.85594$	$[0, 1, 0, 1112, 2228]$	$y^2=x^3+x^2+1112x+2228$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(68, 630)]$
127050.df2	127050dv1	127050.df	127050dv	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{2} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 11^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$	$1$	$1843200$	$2.101276$	$296740963/174636$	$0.92280$	$4.11669$	$[1, 0, 1, 210174, 4846048]$	$y^2+xy+y=x^3+210174x+4846048$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[]$
127050.gm2	127050gx1	127050.gm	127050gx	$2$	$2$	$ 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{2} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$3.187756200$	$1$	$3$	$368640$	$1.296558$	$296740963/174636$	$0.92280$	$3.29501$	$[1, 1, 1, 8407, 42131]$	$y^2+xy+y=x^3+x^2+8407x+42131$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(219, 3418)]$
242550.cr2	242550cr1	242550.cr	242550cr	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{2} \cdot 3^{10} \cdot 5^{9} \cdot 7^{8} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$	$1$	$5898240$	$2.424591$	$296740963/174636$	$0.92280$	$4.21490$	$[1, -1, 0, 766008, -33788084]$	$y^2+xy=x^3-x^2+766008x-33788084$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[]$
242550.jd2	242550jd1	242550.jd	242550jd	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 $	$ - 2^{2} \cdot 3^{10} \cdot 5^{3} \cdot 7^{8} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$5.499666448$	$1$	$1$	$1179648$	$1.619873$	$296740963/174636$	$0.92280$	$3.43608$	$[1, -1, 1, 30640, -276433]$	$y^2+xy+y=x^3-x^2+30640x-276433$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(4561/3, 318505/3)]$
277200.er2	277200er1	277200.er	277200er	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$5.973044629$	$1$	$3$	$2949120$	$2.144783$	$296740963/174636$	$0.92280$	$3.90208$	$[0, 0, 0, 250125, -6268750]$	$y^2=x^3+250125x-6268750$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(1961, 89584)]$
277200.mw2	277200mw1	277200.mw	277200mw	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 11 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1$	$1$	$1$	$589824$	$1.340065$	$296740963/174636$	$0.92280$	$3.13155$	$[0, 0, 0, 10005, -50150]$	$y^2=x^3+10005x-50150$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[]$
369600.ii2	369600ii1	369600.ii	369600ii	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{20} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$4.773856765$	$1$	$3$	$2949120$	$1.942051$	$296740963/174636$	$0.92280$	$3.62475$	$[0, -1, 0, 111167, -1894463]$	$y^2=x^3-x^2+111167x-1894463$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(1711, 72072)]$
369600.ke2	369600ke1	369600.ke	369600ke	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{20} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1.532442245$	$1$	$5$	$589824$	$1.137333$	$296740963/174636$	$0.92280$	$2.87152$	$[0, -1, 0, 4447, 13377]$	$y^2=x^3-x^2+4447x+13377$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(11, 252)]$
369600.mv2	369600mv1	369600.mv	369600mv	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{20} \cdot 3^{4} \cdot 5^{3} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1.469533527$	$1$	$7$	$589824$	$1.137333$	$296740963/174636$	$0.92280$	$2.87152$	$[0, 1, 0, 4447, -13377]$	$y^2=x^3+x^2+4447x-13377$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(67, 768)]$
369600.px2	369600px1	369600.px	369600px	$2$	$2$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 $	$ - 2^{20} \cdot 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 11 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$2.648086197$	$1$	$5$	$2949120$	$1.942051$	$296740963/174636$	$0.92280$	$3.62475$	$[0, 1, 0, 111167, 1894463]$	$y^2=x^3+x^2+111167x+1894463$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(47, 2688)]$
381150.fq2	381150fq1	381150.fq	381150fq	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{2} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$1.923285924$	$1$	$5$	$2949120$	$1.845865$	$296740963/174636$	$0.92280$	$3.52626$	$[1, -1, 0, 75663, -1061879]$	$y^2+xy=x^3-x^2+75663x-1061879$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(69, 2083)]$
381150.lm2	381150lm1	381150.lm	381150lm	$2$	$2$	$ 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} $	$ - 2^{2} \cdot 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$3080$	$12$	$0$	$8.758915912$	$1$	$1$	$14745600$	$2.650585$	$296740963/174636$	$0.92280$	$4.27769$	$[1, -1, 1, 1891570, -130843303]$	$y^2+xy+y=x^3-x^2+1891570x-130843303$	2.3.0.a.1, 110.6.0.?, 280.6.0.?, 616.6.0.?, 3080.12.0.?	$[(774019/26, 1034945465/26)]$

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