| 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.bb5 |
4290bb4 |
4290.bb |
4290bb |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$17160$ |
$384$ |
$5$ |
$2.145205242$ |
$1$ |
|
$22$ |
$55296$ |
$1.929352$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.07448$ |
$[1, 0, 0, -471900, 124722000]$ |
\(y^2+xy=x^3-471900x+124722000\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.1, 6.24.0-6.a.1.4, 12.96.0-12.c.1.8, $\ldots$ |
$[(402, -48)]$ |
| 12870.c5 |
12870p4 |
12870.c |
12870p |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$2.478657$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.06583$ |
$[1, -1, 0, -4247100, -3367494000]$ |
\(y^2+xy=x^3-x^2-4247100x-3367494000\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.1.6, $\ldots$ |
$[]$ |
| 21450.r5 |
21450d5 |
21450.r |
21450d |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{9} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$2.237344787$ |
$1$ |
|
$6$ |
$1327104$ |
$2.734070$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.06246$ |
$[1, 1, 0, -11797500, 15590250000]$ |
\(y^2+xy=x^3+x^2-11797500x+15590250000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(2000, -500)]$ |
| 34320.bb5 |
34320bn5 |
34320.bb |
34320bn |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$5.762060812$ |
$1$ |
|
$3$ |
$1327104$ |
$2.622501$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.66142$ |
$[0, -1, 0, -7550400, -7982208000]$ |
\(y^2=x^3-x^2-7550400x-7982208000\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.1.4, $\ldots$ |
$[(6682, 489762)]$ |
| 47190.bl5 |
47190bh5 |
47190.bl |
47190bh |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 11^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$3.128300$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.05788$ |
$[1, 0, 1, -57099903, -166062081902]$ |
\(y^2+xy+y=x^3-57099903x-166062081902\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
| 55770.bc5 |
55770bc5 |
55770.bc |
55770bc |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$2.011113849$ |
$1$ |
|
$6$ |
$9289728$ |
$3.211826$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.05700$ |
$[1, 0, 1, -79751104, 274093985102]$ |
\(y^2+xy+y=x^3-79751104x+274093985102\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(5110, -274)]$ |
| 64350.fe5 |
64350el5 |
64350.fe |
64350el |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{9} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$10616832$ |
$3.283379$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.05626$ |
$[1, -1, 1, -106177505, -421042927503]$ |
\(y^2+xy+y=x^3-x^2-106177505x-421042927503\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
| 102960.ci5 |
102960dj5 |
102960.ci |
102960dj |
$8$ |
$12$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$10616832$ |
$3.171806$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.69365$ |
$[0, 0, 0, -67953603, 215587569602]$ |
\(y^2=x^3-67953603x+215587569602\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.96.0-12.c.1.2, $\ldots$ |
$[]$ |
| 137280.e5 |
137280gn4 |
137280.e |
137280gn |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.8, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$10616832$ |
$2.969074$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.34954$ |
$[0, -1, 0, -30201601, 63887865601]$ |
\(y^2=x^3-x^2-30201601x+63887865601\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.4, $\ldots$ |
$[]$ |
| 137280.fi5 |
137280bs5 |
137280.fi |
137280bs |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$11.81656552$ |
$1$ |
|
$1$ |
$10616832$ |
$2.969074$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.34954$ |
$[0, 1, 0, -30201601, -63887865601]$ |
\(y^2=x^3+x^2-30201601x-63887865601\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ |
$[(1154573/13, 484789284/13)]$ |
| 141570.dp5 |
141570ca4 |
141570.dp |
141570ca |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{3} \cdot 11^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$53084160$ |
$3.677605$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.05252$ |
$[1, -1, 1, -513899123, 4483676211347]$ |
\(y^2+xy+y=x^3-x^2-513899123x+4483676211347\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
| 167310.fr5 |
167310w5 |
167310.fr |
167310w |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{18} \cdot 5^{3} \cdot 11 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$74317824$ |
$3.761135$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.05179$ |
$[1, -1, 1, -717759932, -7400537597761]$ |
\(y^2+xy+y=x^3-x^2-717759932x-7400537597761\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 171600.el5 |
171600bg5 |
171600.el |
171600bg |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{9} \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$31850496$ |
$3.427219$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.70663$ |
$[0, 1, 0, -188760008, -998153520012]$ |
\(y^2=x^3+x^2-188760008x-998153520012\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
| 210210.cs5 |
210210da5 |
210210.cs |
210210da |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 7^{6} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$2.928720341$ |
$4$ |
$2$ |
$4$ |
$15925248$ |
$2.902309$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.09818$ |
$[1, 1, 1, -23123101, -42802769101]$ |
\(y^2+xy+y=x^3+x^2-23123101x-42802769101\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(-2757, 364)]$ |
| 235950.eq5 |
235950eq5 |
235950.eq |
235950eq |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{9} \cdot 11^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$159252480$ |
$3.933018$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.05035$ |
$[1, 1, 1, -1427497563, -20757760237719]$ |
\(y^2+xy+y=x^3+x^2-1427497563x-20757760237719\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.1.5, $\ldots$ |
$[]$ |
| 278850.ey5 |
278850ey4 |
278850.ey |
278850ey |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{9} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$7.014498953$ |
$1$ |
|
$2$ |
$222953472$ |
$4.016548$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$6.04968$ |
$[1, 1, 1, -1993777588, 34261748137781]$ |
\(y^2+xy+y=x^3+x^2-1993777588x+34261748137781\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(27795, 550927)]$ |
| 377520.bu5 |
377520bu4 |
377520.bu |
377520bu |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{3} \cdot 11^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$159252480$ |
$3.821445$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.72464$ |
$[0, -1, 0, -913598440, 10627973241712]$ |
\(y^2=x^3-x^2-913598440x+10627973241712\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
| 411840.hc5 |
411840hc5 |
411840.hc |
411840hc |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{18} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$8.526258279$ |
$1$ |
|
$3$ |
$84934656$ |
$3.518379$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.40481$ |
$[0, 0, 0, -271814412, -1724700556816]$ |
\(y^2=x^3-271814412x-1724700556816\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(19988, 909880)]$ |
| 411840.nt5 |
411840nt4 |
411840.nt |
411840nt |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{24} \cdot 3^{18} \cdot 5^{3} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$10.65420815$ |
$1$ |
|
$1$ |
$84934656$ |
$3.518379$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.40481$ |
$[0, 0, 0, -271814412, 1724700556816]$ |
\(y^2=x^3-271814412x+1724700556816\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(544188/7, 94413920/7)]$ |
| 446160.a5 |
446160a5 |
446160.a |
446160a |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{3} \cdot 11 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$17160$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$222953472$ |
$3.904976$ |
$11621808143080380273601/1335706803288000$ |
$1.00205$ |
$5.72818$ |
$[0, -1, 0, -1276017656, -17542015046544]$ |
\(y^2=x^3-x^2-1276017656x-17542015046544\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
