| 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 |
| 5610.g3 |
5610f4 |
5610.g |
5610f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5 \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$36864$ |
$1.771034$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.16207$ |
$[1, 1, 0, -15147, 5485101]$ |
\(y^2+xy=x^3+x^2-15147x+5485101\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
| 16830.br3 |
16830cf4 |
16830.br |
16830cf |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1.525654405$ |
$1$ |
|
$4$ |
$294912$ |
$2.320339$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.25667$ |
$[1, -1, 1, -136328, -148234053]$ |
\(y^2+xy+y=x^3-x^2-136328x-148234053\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 68.12.0-4.c.1.1, 264.12.0.?, $\ldots$ |
$[(887, 20247)]$ |
| 28050.df3 |
28050da3 |
28050.df |
28050da |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{7} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$884736$ |
$2.575752$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.29374$ |
$[1, 0, 0, -378688, 686394992]$ |
\(y^2+xy=x^3-378688x+686394992\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 440.24.0.?, 510.6.0.?, 1020.24.0.?, $\ldots$ |
$[]$ |
| 44880.cs3 |
44880cu3 |
44880.cs |
44880cu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5 \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$7.729089781$ |
$1$ |
|
$1$ |
$884736$ |
$2.464180$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$4.93648$ |
$[0, 1, 0, -242360, -351531180]$ |
\(y^2=x^3+x^2-242360x-351531180\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 88.12.0.?, 204.12.0.?, $\ldots$ |
$[(224172/7, 105337518/7)]$ |
| 61710.bz3 |
61710ca3 |
61710.bz |
61710ca |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5 \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$22440$ |
$48$ |
$0$ |
$10.51260059$ |
$4$ |
$2$ |
$2$ |
$4423680$ |
$2.969982$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.34423$ |
$[1, 1, 1, -1832850, -7309833585]$ |
\(y^2+xy+y=x^3+x^2-1832850x-7309833585\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 220.12.0.?, 440.24.0.?, $\ldots$ |
$[(60575, 14874609)]$ |
| 84150.bv3 |
84150cc3 |
84150.bv |
84150cc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{7} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$4.713553924$ |
$1$ |
|
$2$ |
$7077888$ |
$3.125057$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.36216$ |
$[1, -1, 0, -3408192, -18532664784]$ |
\(y^2+xy=x^3-x^2-3408192x-18532664784\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 340.12.0.?, 440.12.0.?, $\ldots$ |
$[(16413, 2076684)]$ |
| 95370.bd3 |
95370bc3 |
95370.bd |
95370bc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5 \cdot 11^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$5.703359401$ |
$1$ |
|
$2$ |
$10616832$ |
$3.187641$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.36913$ |
$[1, 0, 1, -4377634, 26978944292]$ |
\(y^2+xy+y=x^3-4377634x+26978944292\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 340.12.0.?, 440.12.0.?, $\ldots$ |
$[(2370, 171781)]$ |
| 134640.bb3 |
134640cc4 |
134640.bb |
134640cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5 \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7077888$ |
$3.013489$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.03541$ |
$[0, 0, 0, -2181243, 9489160618]$ |
\(y^2=x^3-2181243x+9489160618\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 68.12.0-4.c.1.2, 264.12.0.?, $\ldots$ |
$[]$ |
| 179520.x3 |
179520dz3 |
179520.x |
179520dz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{22} \cdot 3 \cdot 5 \cdot 11^{12} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$84.93211703$ |
$1$ |
|
$3$ |
$7077888$ |
$2.810753$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$4.71458$ |
$[0, -1, 0, -969441, -2811279999]$ |
\(y^2=x^3-x^2-969441x-2811279999\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 88.12.0.?, 408.12.0.?, $\ldots$ |
$[(2168, 72611), (84239/5, 22419488/5)]$ |
| 179520.fj3 |
179520gc4 |
179520.fj |
179520gc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{22} \cdot 3 \cdot 5 \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$6.010409491$ |
$1$ |
|
$1$ |
$7077888$ |
$2.810753$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$4.71458$ |
$[0, 1, 0, -969441, 2811279999]$ |
\(y^2=x^3+x^2-969441x+2811279999\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 88.12.0.?, 408.12.0.?, $\ldots$ |
$[(-8822/3, 1433971/3)]$ |
| 185130.n3 |
185130ee4 |
185130.n |
185130ee |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$8.033360855$ |
$1$ |
|
$2$ |
$35389440$ |
$3.519287$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.40363$ |
$[1, -1, 0, -16495650, 197349011140]$ |
\(y^2+xy=x^3-x^2-16495650x+197349011140\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 440.12.0.?, 510.6.0.?, $\ldots$ |
$[(2747, 414269)]$ |
| 224400.cs3 |
224400ff3 |
224400.cs |
224400ff |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5^{7} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$21233664$ |
$3.268898$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.07540$ |
$[0, -1, 0, -6059008, -43929279488]$ |
\(y^2=x^3-x^2-6059008x-43929279488\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 440.24.0.?, 510.6.0.?, 1020.24.0.?, $\ldots$ |
$[]$ |
| 274890.bs3 |
274890bs3 |
274890.bs |
274890bs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$157080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14155776$ |
$2.743988$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$4.49021$ |
$[1, 0, 1, -742229, -1883616304]$ |
\(y^2+xy+y=x^3-742229x-1883616304\) |
2.3.0.a.1, 4.6.0.c.1, 140.12.0.?, 440.12.0.?, 510.6.0.?, $\ldots$ |
$[]$ |
| 286110.ge3 |
286110ge3 |
286110.ge |
286110ge |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 11^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$84934656$ |
$3.736946$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.42429$ |
$[1, -1, 1, -39398702, -728431495891]$ |
\(y^2+xy+y=x^3-x^2-39398702x-728431495891\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 440.24.0.?, 510.6.0.?, 1020.24.0.?, $\ldots$ |
$[]$ |
| 308550.ec3 |
308550ec3 |
308550.ec |
308550ec |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3 \cdot 5^{7} \cdot 11^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$33.95098269$ |
$1$ |
|
$0$ |
$106168320$ |
$3.774700$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.42773$ |
$[1, 0, 1, -45821251, -913637555602]$ |
\(y^2+xy+y=x^3-45821251x-913637555602\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 44.12.0-4.c.1.1, 408.12.0.?, $\ldots$ |
$[(344545812337716/173279, 1362289604983823970059/173279)]$ |
| 476850.hb3 |
476850hb4 |
476850.hb |
476850hb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{7} \cdot 11^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$3.314741017$ |
$1$ |
|
$2$ |
$254803968$ |
$3.992359$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.44678$ |
$[1, 1, 1, -109440838, 3372368036531]$ |
\(y^2+xy+y=x^3+x^2-109440838x+3372368036531\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 68.12.0-4.c.1.1, 264.12.0.?, $\ldots$ |
$[(15531, 2320153)]$ |
| 493680.gt3 |
493680gt4 |
493680.gt |
493680gt |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 5 \cdot 11^{18} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$22440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$106168320$ |
$3.663128$ |
$-384369029857072441/12804787777021680$ |
$1.00340$ |
$5.13101$ |
$[0, 1, 0, -29325600, 467770698228]$ |
\(y^2=x^3+x^2-29325600x+467770698228\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 220.12.0.?, 440.24.0.?, $\ldots$ |
$[]$ |
