| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
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 |
| 4290.d1 |
4290a3 |
4290.d |
4290a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{12} \cdot 5^{2} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12288$ |
$1.159098$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.17230$ |
$[1, 1, 0, -38148, -2883798]$ |
\(y^2+xy=x^3+x^2-38148x-2883798\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[ ]$ |
| 12870.ce1 |
12870cf4 |
12870.ce |
12870cf |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{18} \cdot 5^{2} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$98304$ |
$1.708405$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.26840$ |
$[1, -1, 1, -343337, 77519211]$ |
\(y^2+xy+y=x^3-x^2-343337x+77519211\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
| 21450.ci1 |
21450cg4 |
21450.ci |
21450cg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{12} \cdot 5^{8} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$4.460382389$ |
$1$ |
|
$0$ |
$294912$ |
$1.963818$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.30587$ |
$[1, 0, 0, -953713, -358567333]$ |
\(y^2+xy=x^3-953713x-358567333\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 260.12.0.?, 264.12.0.?, $\ldots$ |
$[(5843/2, 289807/2)]$ |
| 34320.bf1 |
34320ca4 |
34320.bf |
34320ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3^{12} \cdot 5^{2} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$0.404529600$ |
$1$ |
|
$11$ |
$294912$ |
$1.852245$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$4.93888$ |
$[0, 1, 0, -610376, 183342324]$ |
\(y^2=x^3+x^2-610376x+183342324\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(454, 120)]$ |
| 47190.bn1 |
47190bq4 |
47190.bn |
47190bq |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{12} \cdot 5^{2} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$3432$ |
$48$ |
$0$ |
$6.970750282$ |
$1$ |
|
$0$ |
$1474560$ |
$2.358047$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.35672$ |
$[1, 1, 1, -4615971, 3815255379]$ |
\(y^2+xy+y=x^3+x^2-4615971x+3815255379\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 264.24.0.?, 312.24.0.?, $\ldots$ |
$[(31207/2, 5291947/2)]$ |
| 55770.cd1 |
55770cj4 |
55770.cd |
55770cj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{2} \cdot 11 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2064384$ |
$2.441574$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.36655$ |
$[1, 1, 1, -6447100, -6303468865]$ |
\(y^2+xy+y=x^3+x^2-6447100x-6303468865\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 312.24.0.?, 1144.24.0.?, $\ldots$ |
$[ ]$ |
| 64350.f1 |
64350bo4 |
64350.f |
64350bo |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{18} \cdot 5^{8} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$3.342493916$ |
$1$ |
|
$4$ |
$2359296$ |
$2.513123$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.37474$ |
$[1, -1, 0, -8583417, 9681317991]$ |
\(y^2+xy=x^3-x^2-8583417x+9681317991\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[(1699, -337)]$ |
| 102960.co1 |
102960eh4 |
102960.co |
102960eh |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3^{18} \cdot 5^{2} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3432$ |
$48$ |
$0$ |
$2.896459859$ |
$4$ |
$2$ |
$5$ |
$2359296$ |
$2.401550$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.03988$ |
$[0, 0, 0, -5493387, -4955736134]$ |
\(y^2=x^3-5493387x-4955736134\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 264.24.0.?, $\ldots$ |
$[(-1353, 50)]$ |
| 137280.bz1 |
137280bx3 |
137280.bz |
137280bx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3^{12} \cdot 5^{2} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$3.322417523$ |
$1$ |
|
$5$ |
$2359296$ |
$2.198818$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$4.71167$ |
$[0, -1, 0, -2441505, 1469180097]$ |
\(y^2=x^3-x^2-2441505x+1469180097\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(904, 75)]$ |
| 137280.hh1 |
137280et4 |
137280.hh |
137280et |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3^{12} \cdot 5^{2} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2359296$ |
$2.198818$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$4.71167$ |
$[0, 1, 0, -2441505, -1469180097]$ |
\(y^2=x^3+x^2-2441505x-1469180097\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[ ]$ |
| 141570.bn1 |
141570cr4 |
141570.bn |
141570cr |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{18} \cdot 5^{2} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$11796480$ |
$2.907352$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.41631$ |
$[1, -1, 0, -41543739, -103053438977]$ |
\(y^2+xy=x^3-x^2-41543739x-103053438977\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[ ]$ |
| 167310.c1 |
167310eb3 |
167310.c |
167310eb |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{18} \cdot 5^{2} \cdot 11 \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$4.982125668$ |
$1$ |
|
$12$ |
$16515072$ |
$2.990879$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.42441$ |
$[1, -1, 0, -58023900, 170135635450]$ |
\(y^2+xy=x^3-x^2-58023900x+170135635450\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(4391, -1435), (4443, 2933)]$ |
| 171600.du1 |
171600ey3 |
171600.du |
171600ey |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3^{12} \cdot 5^{8} \cdot 11 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$6.139111775$ |
$1$ |
|
$1$ |
$7077888$ |
$2.656963$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.08057$ |
$[0, -1, 0, -15259408, 22948309312]$ |
\(y^2=x^3-x^2-15259408x+22948309312\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 260.12.0.?, 264.12.0.?, $\ldots$ |
$[(21538/3, 308350/3)]$ |
| 210210.ca1 |
210210dk3 |
210210.ca |
210210dk |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \cdot 11 \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$2.459666625$ |
$1$ |
|
$14$ |
$3538944$ |
$2.132053$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$4.48249$ |
$[1, 0, 1, -1869278, 983534906]$ |
\(y^2+xy+y=x^3-1869278x+983534906\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[(810, 607), (792, -527)]$ |
| 235950.el1 |
235950el3 |
235950.el |
235950el |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3^{12} \cdot 5^{8} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35389440$ |
$3.162766$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.44041$ |
$[1, 0, 1, -115399276, 477137720948]$ |
\(y^2+xy+y=x^3-115399276x+477137720948\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[ ]$ |
| 278850.ej1 |
278850ej4 |
278850.ej |
278850ej |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{8} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$8.352324848$ |
$1$ |
|
$0$ |
$49545216$ |
$3.246292$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.44786$ |
$[1, 0, 1, -161177501, -787611253102]$ |
\(y^2+xy+y=x^3-161177501x-787611253102\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[(367563/2, 220223783/2)]$ |
| 377520.fq1 |
377520fq4 |
377520.fq |
377520fq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{12} \cdot 5^{2} \cdot 11^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35389440$ |
$3.051193$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.13702$ |
$[0, 1, 0, -73855536, -244324055340]$ |
\(y^2=x^3+x^2-73855536x-244324055340\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 264.24.0.?, 312.24.0.?, $\ldots$ |
$[ ]$ |
| 411840.u1 |
411840u4 |
411840.u |
411840u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3^{18} \cdot 5^{2} \cdot 11 \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3432$ |
$48$ |
$0$ |
$43.56203983$ |
$1$ |
|
$5$ |
$18874368$ |
$2.748127$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$4.82115$ |
$[0, 0, 0, -21973548, -39645889072]$ |
\(y^2=x^3-21973548x-39645889072\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[(56341, 13325391), (-43279/4, 4151/4)]$ |
| 411840.ft1 |
411840ft3 |
411840.ft |
411840ft |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{19} \cdot 3^{18} \cdot 5^{2} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18874368$ |
$2.748127$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$4.82115$ |
$[0, 0, 0, -21973548, 39645889072]$ |
\(y^2=x^3-21973548x+39645889072\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
| 446160.jg1 |
446160jg3 |
446160.jg |
446160jg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{12} \cdot 5^{2} \cdot 11 \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$49545216$ |
$3.134720$ |
$6139836723518159689/3799803150$ |
$0.97402$ |
$5.14811$ |
$[0, 1, 0, -103153600, 403215700148]$ |
\(y^2=x^3+x^2-103153600x+403215700148\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 264.24.0.?, 312.24.0.?, 1144.24.0.?, $\ldots$ |
$[ ]$ |
