LMFDB - Elliptic curve search results

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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

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Results (26 matches)

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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	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
2760.j1	2760k1	2760.j	2760k	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$0.032572446$	$1$	$16$	$9600$	$1.512997$	$190737654201344/2245153696875$	$1.02276$	$5.22395$	$[0, 1, 0, 7615, 1127283]$	$y^2=x^3+x^2+7615x+1127283$	230.2.0.?	$[(-59, 690)]$
5520.n1	5520c1	5520.n	5520c	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$19200$	$1.512997$	$190737654201344/2245153696875$	$1.02276$	$4.80370$	$[0, -1, 0, 7615, -1127283]$	$y^2=x^3-x^2+7615x-1127283$	230.2.0.?	$[]$
8280.a1	8280f1	8280.a	8280f	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{16} \cdot 5^{5} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$76800$	$2.062305$	$190737654201344/2245153696875$	$1.02276$	$5.31845$	$[0, 0, 0, 68532, -30368108]$	$y^2=x^3+68532x-30368108$	230.2.0.?	$[]$
13800.j1	13800b1	13800.j	13800b	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{11} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1.506489089$	$1$	$4$	$230400$	$2.317715$	$190737654201344/2245153696875$	$1.02276$	$5.35498$	$[0, -1, 0, 190367, 140529637]$	$y^2=x^3-x^2+190367x+140529637$	230.2.0.?	$[(37, 12150)]$
16560.v1	16560p1	16560.v	16560p	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{8} \cdot 3^{16} \cdot 5^{5} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$3.695260914$	$1$	$2$	$153600$	$2.062305$	$190737654201344/2245153696875$	$1.02276$	$4.93898$	$[0, 0, 0, 68532, 30368108]$	$y^2=x^3+68532x+30368108$	230.2.0.?	$[(721, 21321)]$
22080.g1	22080k1	22080.g	22080k	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 23 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{5} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$153600$	$1.859571$	$190737654201344/2245153696875$	$1.02276$	$4.55371$	$[0, -1, 0, 30459, 8987805]$	$y^2=x^3-x^2+30459x+8987805$	230.2.0.?	$[]$
22080.cb1	22080co1	22080.cb	22080co	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 23 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{5} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$3.522210972$	$1$	$2$	$153600$	$1.859571$	$190737654201344/2245153696875$	$1.02276$	$4.55371$	$[0, 1, 0, 30459, -8987805]$	$y^2=x^3+x^2+30459x-8987805$	230.2.0.?	$[(174, 1269)]$
27600.ce1	27600ba1	27600.ce	27600ba	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{11} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$0.932177690$	$1$	$4$	$460800$	$2.317715$	$190737654201344/2245153696875$	$1.02276$	$4.99199$	$[0, 1, 0, 190367, -140529637]$	$y^2=x^3+x^2+190367x-140529637$	230.2.0.?	$[(638, 15525)]$
41400.cb1	41400ca1	41400.cb	41400ca	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{16} \cdot 5^{11} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$1843200$	$2.867023$	$190737654201344/2245153696875$	$1.02276$	$5.42163$	$[0, 0, 0, 1713300, -3796013500]$	$y^2=x^3+1713300x-3796013500$	230.2.0.?	$[]$
63480.q1	63480s1	63480.q	63480s	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$5068800$	$3.080746$	$190737654201344/2245153696875$	$1.02276$	$5.44399$	$[0, 1, 0, 4028159, -13683426541]$	$y^2=x^3+x^2+4028159x-13683426541$	230.2.0.?	$[]$
66240.dq1	66240cq1	66240.dq	66240cq	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{14} \cdot 3^{16} \cdot 5^{5} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$5.005622010$	$1$	$2$	$1228800$	$2.408878$	$190737654201344/2245153696875$	$1.02276$	$4.69684$	$[0, 0, 0, 274128, -242944864]$	$y^2=x^3+274128x-242944864$	230.2.0.?	$[(1177, 41355)]$
66240.ft1	66240ga1	66240.ft	66240ga	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 $	$ - 2^{14} \cdot 3^{16} \cdot 5^{5} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1.781821971$	$1$	$2$	$1228800$	$2.408878$	$190737654201344/2245153696875$	$1.02276$	$4.69684$	$[0, 0, 0, 274128, 242944864]$	$y^2=x^3+274128x+242944864$	230.2.0.?	$[(-7, 15525)]$
82800.u1	82800x1	82800.u	82800x	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{16} \cdot 5^{11} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$3686400$	$2.867023$	$190737654201344/2245153696875$	$1.02276$	$5.08978$	$[0, 0, 0, 1713300, 3796013500]$	$y^2=x^3+1713300x+3796013500$	230.2.0.?	$[]$
110400.n1	110400gs1	110400.n	110400gs	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{11} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1.612627778$	$1$	$2$	$3686400$	$2.664291$	$190737654201344/2245153696875$	$1.02276$	$4.75417$	$[0, -1, 0, 761467, -1124998563]$	$y^2=x^3-x^2+761467x-1124998563$	230.2.0.?	$[(23012, 3493125)]$
110400.jf1	110400de1	110400.jf	110400de	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{10} \cdot 5^{11} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$3686400$	$2.664291$	$190737654201344/2245153696875$	$1.02276$	$4.75417$	$[0, 1, 0, 761467, 1124998563]$	$y^2=x^3+x^2+761467x+1124998563$	230.2.0.?	$[]$
126960.e1	126960f1	126960.e	126960f	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$10137600$	$3.080746$	$190737654201344/2245153696875$	$1.02276$	$5.12289$	$[0, -1, 0, 4028159, 13683426541]$	$y^2=x^3-x^2+4028159x+13683426541$	230.2.0.?	$[]$
135240.d1	135240br1	135240.d	135240br	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 7^{6} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$3168000$	$2.485954$	$190737654201344/2245153696875$	$1.02276$	$4.49138$	$[0, -1, 0, 373119, -385911819]$	$y^2=x^3-x^2+373119x-385911819$	230.2.0.?	$[]$
190440.bt1	190440be1	190440.bt	190440be	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{16} \cdot 5^{5} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$40550400$	$3.630051$	$190737654201344/2245153696875$	$1.02276$	$5.49423$	$[0, 0, 0, 36253428, 369488770036]$	$y^2=x^3+36253428x+369488770036$	230.2.0.?	$[]$
270480.gt1	270480gt1	270480.gt	270480gt	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 7^{6} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$6.354511118$	$1$	$2$	$6336000$	$2.485954$	$190737654201344/2245153696875$	$1.02276$	$4.24248$	$[0, 1, 0, 373119, 385911819]$	$y^2=x^3+x^2+373119x+385911819$	230.2.0.?	$[(822, 35337)]$
317400.g1	317400g1	317400.g	317400g	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} $	$ - 2^{8} \cdot 3^{10} \cdot 5^{11} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$121651200$	$3.885464$	$190737654201344/2245153696875$	$1.02276$	$5.51463$	$[0, -1, 0, 100703967, -1710629725563]$	$y^2=x^3-x^2+100703967x-1710629725563$	230.2.0.?	$[]$
331200.dk1	331200dk1	331200.dk	331200dk	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{16} \cdot 5^{11} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$28.72143238$	$1$	$0$	$29491200$	$3.213596$	$190737654201344/2245153696875$	$1.02276$	$4.86185$	$[0, 0, 0, 6853200, 30368108000]$	$y^2=x^3+6853200x+30368108000$	230.2.0.?	$[(-20975123571695/95327, 41108947476651119025/95327)]$
331200.ns1	331200ns1	331200.ns	331200ns	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 $	$ - 2^{14} \cdot 3^{16} \cdot 5^{11} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$16.56054858$	$1$	$0$	$29491200$	$3.213596$	$190737654201344/2245153696875$	$1.02276$	$4.86185$	$[0, 0, 0, 6853200, -30368108000]$	$y^2=x^3+6853200x-30368108000$	230.2.0.?	$[(1658337545/337, 68283724636125/337)]$
333960.dh1	333960dh1	333960.dh	333960dh	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 11^{6} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$0.150813955$	$1$	$12$	$12288000$	$2.711945$	$190737654201344/2245153696875$	$1.02276$	$4.38538$	$[0, 1, 0, 921375, -1496728125]$	$y^2=x^3+x^2+921375x-1496728125$	230.2.0.?	$[(8235, 751410)]$
380880.ea1	380880ea1	380880.ea	380880ea	$1$	$1$	$ 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} $	$ - 2^{8} \cdot 3^{16} \cdot 5^{5} \cdot 23^{9} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$81100800$	$3.630051$	$190737654201344/2245153696875$	$1.02276$	$5.19787$	$[0, 0, 0, 36253428, -369488770036]$	$y^2=x^3+36253428x-369488770036$	230.2.0.?	$[]$
405720.gp1	405720gp1	405720.gp	405720gp	$1$	$1$	$ 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{16} \cdot 5^{5} \cdot 7^{6} \cdot 23^{3} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$1$	$1$	$0$	$25344000$	$3.035259$	$190737654201344/2245153696875$	$1.02276$	$4.61972$	$[0, 0, 0, 3358068, 10416261044]$	$y^2=x^3+3358068x+10416261044$	230.2.0.?	$[]$
466440.bu1	466440bu1	466440.bu	466440bu	$1$	$1$	$ 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 23 $	$ - 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 13^{6} \cdot 23^{3} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$230$	$2$	$0$	$0.561059823$	$1$	$6$	$22579200$	$2.795471$	$190737654201344/2245153696875$	$1.02276$	$4.34992$	$[0, 1, 0, 1286879, 2471493155]$	$y^2=x^3+x^2+1286879x+2471493155$	230.2.0.?	$[(1031, 69966)]$

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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Abelian varieties over $\F_{q}$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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