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 (28 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	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
6240.g1	6240u1	6240.g	6240u	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{9} \cdot 5 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$3456$	$0.546352$	$153990656/1279395$	$0.92262$	$3.40578$	$[0, -1, 0, 179, -3419]$	$y^2=x^3-x^2+179x-3419$	390.2.0.?	$[]$
6240.r1	6240bb1	6240.r	6240bb	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{9} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.238600240$	$1$		$6$	$3456$	$0.546352$	$153990656/1279395$	$0.92262$	$3.40578$	$[0, 1, 0, 179, 3419]$	$y^2=x^3+x^2+179x+3419$	390.2.0.?	$[(17, 108)]$
12480.be1	12480cf1	12480.be	12480cf	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3^{9} \cdot 5 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$3456$	$0.199779$	$153990656/1279395$	$0.92262$	$2.71455$	$[0, -1, 0, 45, 405]$	$y^2=x^3-x^2+45x+405$	390.2.0.?	$[]$
12480.da1	12480dc1	12480.da	12480dc	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3^{9} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.718204044$	$1$		$2$	$3456$	$0.199779$	$153990656/1279395$	$0.92262$	$2.71455$	$[0, 1, 0, 45, -405]$	$y^2=x^3+x^2+45x-405$	390.2.0.?	$[(18, 81)]$
18720.be1	18720q1	18720.be	18720q	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{15} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.825357482$	$1$		$2$	$27648$	$1.095659$	$153990656/1279395$	$0.92262$	$3.69549$	$[0, 0, 0, 1608, -90704]$	$y^2=x^3+1608x-90704$	390.2.0.?	$[(596, 14580)]$
18720.bl1	18720p1	18720.bl	18720p	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{12} \cdot 3^{15} \cdot 5 \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.345676229$	$1$		$2$	$27648$	$1.095659$	$153990656/1279395$	$0.92262$	$3.69549$	$[0, 0, 0, 1608, 90704]$	$y^2=x^3+1608x+90704$	390.2.0.?	$[(40, 468)]$
31200.n1	31200e1	31200.n	31200e	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$82944$	$1.351072$	$153990656/1279395$	$0.92262$	$3.80925$	$[0, -1, 0, 4467, 418437]$	$y^2=x^3-x^2+4467x+418437$	390.2.0.?	$[]$
31200.bw1	31200t1	31200.bw	31200t	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.656688231$	$1$		$6$	$82944$	$1.351072$	$153990656/1279395$	$0.92262$	$3.80925$	$[0, 1, 0, 4467, -418437]$	$y^2=x^3+x^2+4467x-418437$	390.2.0.?	$[(93, 900)]$
37440.w1	37440eh1	37440.w	37440eh	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3^{15} \cdot 5 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.749085$	$153990656/1279395$	$0.92262$	$3.05731$	$[0, 0, 0, 402, -11338]$	$y^2=x^3+402x-11338$	390.2.0.?	$[]$
37440.cb1	37440ef1	37440.cb	37440ef	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 $	$ - 2^{6} \cdot 3^{15} \cdot 5 \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$27648$	$0.749085$	$153990656/1279395$	$0.92262$	$3.05731$	$[0, 0, 0, 402, 11338]$	$y^2=x^3+402x+11338$	390.2.0.?	$[]$
62400.bu1	62400ed1	62400.bu	62400ed	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{9} \cdot 5^{7} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$82944$	$1.004498$	$153990656/1279395$	$0.92262$	$3.19345$	$[0, -1, 0, 1117, -52863]$	$y^2=x^3-x^2+1117x-52863$	390.2.0.?	$[]$
62400.gl1	62400ge1	62400.gl	62400ge	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{9} \cdot 5^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.366596062$	$1$		$4$	$82944$	$1.004498$	$153990656/1279395$	$0.92262$	$3.19345$	$[0, 1, 0, 1117, 52863]$	$y^2=x^3+x^2+1117x+52863$	390.2.0.?	$[(-2, 225)]$
81120.r1	81120j1	81120.r	81120j	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{9} \cdot 5 \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$580608$	$1.828827$	$153990656/1279395$	$0.92262$	$3.99444$	$[0, -1, 0, 30195, -7390683]$	$y^2=x^3-x^2+30195x-7390683$	390.2.0.?	$[]$
81120.ca1	81120v1	81120.ca	81120v	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{9} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.492693877$	$1$		$4$	$580608$	$1.828827$	$153990656/1279395$	$0.92262$	$3.99444$	$[0, 1, 0, 30195, 7390683]$	$y^2=x^3+x^2+30195x+7390683$	390.2.0.?	$[(-87, 2028)]$
93600.bz1	93600dz1	93600.bz	93600dz	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{15} \cdot 5^{7} \cdot 13 $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.324558876$	$1$		$12$	$663552$	$1.900377$	$153990656/1279395$	$0.92262$	$4.01951$	$[0, 0, 0, 40200, 11338000]$	$y^2=x^3+40200x+11338000$	390.2.0.?	$[(665, 18225), (-64, 2916)]$
93600.de1	93600dv1	93600.de	93600dv	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{15} \cdot 5^{7} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$663552$	$1.900377$	$153990656/1279395$	$0.92262$	$4.01951$	$[0, 0, 0, 40200, -11338000]$	$y^2=x^3+40200x-11338000$	390.2.0.?	$[]$
162240.bc1	162240dx1	162240.bc	162240dx	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{9} \cdot 5 \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$580608$	$1.482254$	$153990656/1279395$	$0.92262$	$3.41699$	$[0, -1, 0, 7549, 920061]$	$y^2=x^3-x^2+7549x+920061$	390.2.0.?	$[]$
162240.fd1	162240bj1	162240.fd	162240bj	$1$	$1$	$ 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{9} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.540069096$	$1$		$2$	$580608$	$1.482254$	$153990656/1279395$	$0.92262$	$3.41699$	$[0, 1, 0, 7549, -920061]$	$y^2=x^3+x^2+7549x-920061$	390.2.0.?	$[(82, 507)]$
187200.go1	187200dz1	187200.go	187200dz	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{15} \cdot 5^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$5.672182761$	$1$		$2$	$663552$	$1.553804$	$153990656/1279395$	$0.92262$	$3.44743$	$[0, 0, 0, 10050, 1417250]$	$y^2=x^3+10050x+1417250$	390.2.0.?	$[(4285, 280575)]$
187200.jw1	187200ex1	187200.jw	187200ex	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 $	$ - 2^{6} \cdot 3^{15} \cdot 5^{7} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$3.153792314$	$1$		$2$	$663552$	$1.553804$	$153990656/1279395$	$0.92262$	$3.44743$	$[0, 0, 0, 10050, -1417250]$	$y^2=x^3+10050x-1417250$	390.2.0.?	$[(761, 21141)]$
243360.bc1	243360bc1	243360.bc	243360bc	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{15} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$2.746770122$	$1$		$2$	$4644864$	$2.378132$	$153990656/1279395$	$0.92262$	$4.17209$	$[0, 0, 0, 271752, 199276688]$	$y^2=x^3+271752x+199276688$	390.2.0.?	$[(416, 19604)]$
243360.br1	243360br1	243360.br	243360br	$1$	$1$	$ 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{12} \cdot 3^{15} \cdot 5 \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1.608540975$	$1$		$0$	$4644864$	$2.378132$	$153990656/1279395$	$0.92262$	$4.17209$	$[0, 0, 0, 271752, -199276688]$	$y^2=x^3+271752x-199276688$	390.2.0.?	$[(2561/2, 123201/2)]$
305760.cp1	305760cp1	305760.cp	305760cp	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 13 $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$14.05371776$	$1$		$0$	$1306368$	$1.519308$	$153990656/1279395$	$0.92262$	$3.28075$	$[0, -1, 0, 8755, -1155195]$	$y^2=x^3-x^2+8755x-1155195$	390.2.0.?	$[(3566767/19, 6736112732/19)]$
305760.hf1	305760hf1	305760.hf	305760hf	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 $	$ - 2^{12} \cdot 3^{9} \cdot 5 \cdot 7^{6} \cdot 13 $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$1306368$	$1.519308$	$153990656/1279395$	$0.92262$	$3.28075$	$[0, 1, 0, 8755, 1155195]$	$y^2=x^3+x^2+8755x+1155195$	390.2.0.?	$[]$
405600.bs1	405600bs1	405600.bs	405600bs	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$13934592$	$2.633545$	$153990656/1279395$	$0.92262$	$4.24440$	$[0, -1, 0, 754867, 922325637]$	$y^2=x^3-x^2+754867x+922325637$	390.2.0.?	$[]$
405600.fn1	405600fn1	405600.fn	405600fn	$1$	$1$	$ 2^{5} \cdot 3 \cdot 5^{2} \cdot 13^{2} $	$ - 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 13^{7} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$0.968405720$	$1$		$4$	$13934592$	$2.633545$	$153990656/1279395$	$0.92262$	$4.24440$	$[0, 1, 0, 754867, -922325637]$	$y^2=x^3+x^2+754867x-922325637$	390.2.0.?	$[(5893, 456300)]$
486720.lg1	486720lg1	486720.lg	486720lg	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{15} \cdot 5 \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$1$		$0$	$4644864$	$2.031559$	$153990656/1279395$	$0.92262$	$3.63368$	$[0, 0, 0, 67938, 24909586]$	$y^2=x^3+67938x+24909586$	390.2.0.?	$[]$
486720.od1	486720od1	486720.od	486720od	$1$	$1$	$ 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} $	$ - 2^{6} \cdot 3^{15} \cdot 5 \cdot 13^{7} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$390$	$2$	$0$	$1$	$9$	$3$	$0$	$4644864$	$2.031559$	$153990656/1279395$	$0.92262$	$3.63368$	$[0, 0, 0, 67938, -24909586]$	$y^2=x^3+67938x-24909586$	390.2.0.?	$[]$

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Elliptic curves over $\Q$
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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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