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 (28 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	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
6240.k1	6240x1	6240.k	6240x	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{11} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.341168677$	$1$		$6$	$29568$	$1.706165$	$-22400965661211136/321826171875$	$1.00966$	$5.26279$	$[0, -1, 0, -93965, 11254725]$	$y^2=x^3-x^2-93965x+11254725$	390.2.0.?	$[(55, 2500)]$
6240.be1	6240bd1	6240.be	6240bd	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{11} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$29568$	$1.706165$	$-22400965661211136/321826171875$	$1.00966$	$5.26279$	$[0, 1, 0, -93965, -11254725]$	$y^2=x^3+x^2-93965x-11254725$	390.2.0.?	$[]$
12480.r1	12480bs1	12480.r	12480bs	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 5^{11} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$6.939016476$	$1$		$2$	$29568$	$1.359591$	$-22400965661211136/321826171875$	$1.00966$	$4.43509$	$[0, -1, 0, -23491, -1395095]$	$y^2=x^3-x^2-23491x-1395095$	390.2.0.?	$[(5616, 420667)]$
12480.bx1	12480cq1	12480.bx	12480cq	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 5^{11} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$29568$	$1.359591$	$-22400965661211136/321826171875$	$1.00966$	$4.43509$	$[0, 1, 0, -23491, 1395095]$	$y^2=x^3+x^2-23491x+1395095$	390.2.0.?	$[]$
18720.i1	18720g1	18720.i	18720g	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{11} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$236544$	$2.255470$	$-22400965661211136/321826171875$	$1.00966$	$5.34512$	$[0, 0, 0, -845688, -303031888]$	$y^2=x^3-845688x-303031888$	390.2.0.?	$[]$
18720.m1	18720e1	18720.m	18720e	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{11} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$236544$	$2.255470$	$-22400965661211136/321826171875$	$1.00966$	$5.34512$	$[0, 0, 0, -845688, 303031888]$	$y^2=x^3-845688x+303031888$	390.2.0.?	$[]$
31200.f1	31200f1	31200.f	31200f	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{17} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$709632$	$2.510883$	$-22400965661211136/321826171875$	$1.00966$	$5.37745$	$[0, -1, 0, -2349133, -1402142363]$	$y^2=x^3-x^2-2349133x-1402142363$	390.2.0.?	$[]$
31200.cd1	31200r1	31200.cd	31200r	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{17} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.419809124$	$1$		$0$	$709632$	$2.510883$	$-22400965661211136/321826171875$	$1.00966$	$5.37745$	$[0, 1, 0, -2349133, 1402142363]$	$y^2=x^3+x^2-2349133x+1402142363$	390.2.0.?	$[(27457/3, 4062500/3)]$
37440.ec1	37440fp1	37440.ec	37440fp	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{11} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.450034031$	$1$		$4$	$236544$	$1.908897$	$-22400965661211136/321826171875$	$1.00966$	$4.59836$	$[0, 0, 0, -211422, -37878986]$	$y^2=x^3-211422x-37878986$	390.2.0.?	$[(1793, 73125)]$
37440.es1	37440fn1	37440.es	37440fn	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{11} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.232529866$	$1$		$4$	$236544$	$1.908897$	$-22400965661211136/321826171875$	$1.00966$	$4.59836$	$[0, 0, 0, -211422, 37878986]$	$y^2=x^3-211422x+37878986$	390.2.0.?	$[(157, 2925)]$
62400.dc1	62400ea1	62400.dc	62400ea	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 5^{17} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$709632$	$2.164310$	$-22400965661211136/321826171875$	$1.00966$	$4.66320$	$[0, -1, 0, -587283, 175561437]$	$y^2=x^3-x^2-587283x+175561437$	390.2.0.?	$[]$
62400.fc1	62400gf1	62400.fc	62400gf	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3 \cdot 5^{17} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$42.61683538$	$1$		$0$	$709632$	$2.164310$	$-22400965661211136/321826171875$	$1.00966$	$4.66320$	$[0, 1, 0, -587283, -175561437]$	$y^2=x^3+x^2-587283x-175561437$	390.2.0.?	$[(11643498294382108178/100359131, 26586262440442414074029895975/100359131)]$
81120.i1	81120b1	81120.i	81120b	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3 \cdot 5^{11} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$4.979861942$	$1$		$0$	$4967424$	$2.988640$	$-22400965661211136/321826171875$	$1.00966$	$5.43008$	$[0, -1, 0, -15880141, 24663110341]$	$y^2=x^3-x^2-15880141x+24663110341$	390.2.0.?	$[(-4313/3, 4842188/3)]$
81120.bi1	81120p1	81120.bi	81120p	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3 \cdot 5^{11} \cdot 13^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$9$	$3$	$0$	$4967424$	$2.988640$	$-22400965661211136/321826171875$	$1.00966$	$5.43008$	$[0, 1, 0, -15880141, -24663110341]$	$y^2=x^3+x^2-15880141x-24663110341$	390.2.0.?	$[]$
93600.cd1	93600dy1	93600.cd	93600dy	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{17} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$5677056$	$3.060188$	$-22400965661211136/321826171875$	$1.00966$	$5.43720$	$[0, 0, 0, -21142200, 37878986000]$	$y^2=x^3-21142200x+37878986000$	390.2.0.?	$[]$
93600.db1	93600dw1	93600.db	93600dw	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{7} \cdot 5^{17} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$5677056$	$3.060188$	$-22400965661211136/321826171875$	$1.00966$	$5.43720$	$[0, 0, 0, -21142200, -37878986000]$	$y^2=x^3-21142200x-37878986000$	390.2.0.?	$[]$
162240.cw1	162240cn1	162240.cw	162240cn	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3 \cdot 5^{11} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$5.055572393$	$1$		$2$	$4967424$	$2.642067$	$-22400965661211136/321826171875$	$1.00966$	$4.76967$	$[0, -1, 0, -3970035, -3080903775]$	$y^2=x^3-x^2-3970035x-3080903775$	390.2.0.?	$[(121520, 42355625)]$
162240.hp1	162240n1	162240.hp	162240n	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3 \cdot 5^{11} \cdot 13^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$4967424$	$2.642067$	$-22400965661211136/321826171875$	$1.00966$	$4.76967$	$[0, 1, 0, -3970035, 3080903775]$	$y^2=x^3+x^2-3970035x+3080903775$	390.2.0.?	$[]$
187200.fx1	187200dw1	187200.fx	187200dw	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{17} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.142882495$	$1$		$0$	$5677056$	$2.713615$	$-22400965661211136/321826171875$	$1.00966$	$4.78418$	$[0, 0, 0, -5285550, 4734873250]$	$y^2=x^3-5285550x+4734873250$	390.2.0.?	$[(-7735/2, 703125/2)]$
187200.ko1	187200fb1	187200.ko	187200fb	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{7} \cdot 5^{17} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$22.92585139$	$1$		$0$	$5677056$	$2.713615$	$-22400965661211136/321826171875$	$1.00966$	$4.78418$	$[0, 0, 0, -5285550, -4734873250]$	$y^2=x^3-5285550x-4734873250$	390.2.0.?	$[(3646811490985/10077, 6949538249877578125/10077)]$
243360.ds1	243360ds1	243360.ds	243360ds	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{7} \cdot 5^{11} \cdot 13^{9} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.518303121$	$1$		$20$	$39739392$	$3.537945$	$-22400965661211136/321826171875$	$1.00966$	$5.48056$	$[0, 0, 0, -142921272, 665761057936]$	$y^2=x^3-142921272x+665761057936$	390.2.0.?	$[(-4368, 1098500), (6032, 152100)]$
243360.ek1	243360ek1	243360.ek	243360ek	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{7} \cdot 5^{11} \cdot 13^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$39739392$	$3.537945$	$-22400965661211136/321826171875$	$1.00966$	$5.48056$	$[0, 0, 0, -142921272, -665761057936]$	$y^2=x^3-142921272x-665761057936$	390.2.0.?	$[]$
305760.k1	305760k1	305760.k	305760k	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{11} \cdot 7^{6} \cdot 13^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$11176704$	$2.679119$	$-22400965661211136/321826171875$	$1.00966$	$4.56557$	$[0, -1, 0, -4604301, 3851162085]$	$y^2=x^3-x^2-4604301x+3851162085$	390.2.0.?	$[]$
305760.fi1	305760fi1	305760.fi	305760fi	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 3 \cdot 5^{11} \cdot 7^{6} \cdot 13^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$34.88041505$	$1$		$0$	$11176704$	$2.679119$	$-22400965661211136/321826171875$	$1.00966$	$4.56557$	$[0, 1, 0, -4604301, -3851162085]$	$y^2=x^3+x^2-4604301x-3851162085$	390.2.0.?	$[(16186782354075689/2164261, 1487081586770752627173324/2164261)]$
405600.cn1	405600cn1	405600.cn	405600cn	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{12} \cdot 3 \cdot 5^{17} \cdot 13^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$119218176$	$3.793358$	$-22400965661211136/321826171875$	$1.00966$	$5.50111$	$[0, -1, 0, -397003533, -3082094785563]$	$y^2=x^3-x^2-397003533x-3082094785563$	390.2.0.?	$[]$
405600.er1	405600er1	405600.er	405600er	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{12} \cdot 3 \cdot 5^{17} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$21.32324133$	$1$		$0$	$119218176$	$3.793358$	$-22400965661211136/321826171875$	$1.00966$	$5.50111$	$[0, 1, 0, -397003533, 3082094785563]$	$y^2=x^3+x^2-397003533x+3082094785563$	390.2.0.?	$[(435349629857/6257, 50544933473895900/6257)]$
486720.df1	486720df1	486720.df	486720df	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{7} \cdot 5^{11} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$15.41657322$	$1$		$0$	$39739392$	$3.191372$	$-22400965661211136/321826171875$	$1.00966$	$4.87289$	$[0, 0, 0, -35730318, 83220132242]$	$y^2=x^3-35730318x+83220132242$	390.2.0.?	$[(236768389/271, 780204976317/271)]$
486720.fc1	486720fc1	486720.fc	486720fc	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{7} \cdot 5^{11} \cdot 13^{9} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$26.49042256$	$1$		$0$	$39739392$	$3.191372$	$-22400965661211136/321826171875$	$1.00966$	$4.87289$	$[0, 0, 0, -35730318, -83220132242]$	$y^2=x^3-35730318x-83220132242$	390.2.0.?	$[(943820847713/9589, 700674041069066871/9589)]$

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 (28 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 (28 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