| 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 |
| 6930.n4 |
6930e3 |
6930.n |
6930e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4620$ |
$96$ |
$1$ |
$4.892059619$ |
$1$ |
|
$1$ |
$20736$ |
$1.227787$ |
$73929353373/954060800$ |
$0.94486$ |
$4.29379$ |
$[1, -1, 0, 2361, -204355]$ |
\(y^2+xy=x^3-x^2+2361x-204355\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.s.1.15, 462.48.0.?, $\ldots$ |
$[(1399/2, 51251/2)]$ |
| 6930.ba4 |
6930t1 |
6930.ba |
6930t |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$6912$ |
$0.678481$ |
$73929353373/954060800$ |
$0.94486$ |
$3.54843$ |
$[1, -1, 1, 262, 7481]$ |
\(y^2+xy+y=x^3-x^2+262x+7481\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.s.1.16, 462.48.0.?, $\ldots$ |
$[]$ |
| 34650.m4 |
34650b1 |
34650.m |
34650b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1.369001299$ |
$1$ |
|
$19$ |
$165888$ |
$1.483200$ |
$73929353373/954060800$ |
$0.94486$ |
$3.92589$ |
$[1, -1, 0, 6558, 941716]$ |
\(y^2+xy=x^3-x^2+6558x+941716\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 15.8.0-3.a.1.2, $\ldots$ |
$[(-51, 713), (59, 1208)]$ |
| 34650.co4 |
34650ck3 |
34650.co |
34650ck |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$497664$ |
$2.032505$ |
$73929353373/954060800$ |
$0.94486$ |
$4.55649$ |
$[1, -1, 1, 59020, -25485353]$ |
\(y^2+xy+y=x^3-x^2+59020x-25485353\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 48510.e4 |
48510c3 |
48510.e |
48510c |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 7^{7} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$2.200741$ |
$73929353373/954060800$ |
$0.94486$ |
$4.60150$ |
$[1, -1, 0, 115680, 69862400]$ |
\(y^2+xy=x^3-x^2+115680x+69862400\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[]$ |
| 48510.dv4 |
48510ci1 |
48510.dv |
48510ci |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$0.322113685$ |
$1$ |
|
$13$ |
$331776$ |
$1.651436$ |
$73929353373/954060800$ |
$0.94486$ |
$3.99057$ |
$[1, -1, 1, 12853, -2591781]$ |
\(y^2+xy+y=x^3-x^2+12853x-2591781\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[(149, 1542)]$ |
| 55440.s4 |
55440bt1 |
55440.s |
55440bt |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$1.371628$ |
$73929353373/954060800$ |
$0.94486$ |
$3.63439$ |
$[0, 0, 0, 4197, -482998]$ |
\(y^2=x^3+4197x-482998\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.s.1.14, $\ldots$ |
$[]$ |
| 55440.dp4 |
55440ch3 |
55440.dp |
55440ch |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$497664$ |
$1.920935$ |
$73929353373/954060800$ |
$0.94486$ |
$4.23786$ |
$[0, 0, 0, 37773, 13040946]$ |
\(y^2=x^3+37773x+13040946\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.s.1.13, $\ldots$ |
$[]$ |
| 76230.d4 |
76230b1 |
76230.d |
76230b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$1.877428$ |
$73929353373/954060800$ |
$0.94486$ |
$4.07136$ |
$[1, -1, 0, 31740, -10052784]$ |
\(y^2+xy=x^3-x^2+31740x-10052784\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.2, 42.24.0-6.a.1.1, $\ldots$ |
$[]$ |
| 76230.ed4 |
76230cz3 |
76230.ed |
76230cz |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2488320$ |
$2.426735$ |
$73929353373/954060800$ |
$0.94486$ |
$4.65773$ |
$[1, -1, 1, 285658, 271139509]$ |
\(y^2+xy+y=x^3-x^2+285658x+271139509\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 42.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 221760.l4 |
221760hj3 |
221760.l |
221760hj |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{30} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3981312$ |
$2.267509$ |
$73929353373/954060800$ |
$0.94486$ |
$4.09845$ |
$[0, 0, 0, 151092, 104327568]$ |
\(y^2=x^3+151092x+104327568\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 60.24.0.s.1, $\ldots$ |
$[]$ |
| 221760.fh4 |
221760ni3 |
221760.fh |
221760ni |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{30} \cdot 3^{9} \cdot 5^{2} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$4.307929547$ |
$1$ |
|
$5$ |
$3981312$ |
$2.267509$ |
$73929353373/954060800$ |
$0.94486$ |
$4.09845$ |
$[0, 0, 0, 151092, -104327568]$ |
\(y^2=x^3+151092x-104327568\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0.s.1, $\ldots$ |
$[(501, 9855)]$ |
| 221760.ja4 |
221760gg1 |
221760.ja |
221760gg |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$1.718203$ |
$73929353373/954060800$ |
$0.94486$ |
$3.56295$ |
$[0, 0, 0, 16788, -3863984]$ |
\(y^2=x^3+16788x-3863984\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 60.24.0.s.1, $\ldots$ |
$[]$ |
| 221760.lj4 |
221760ms1 |
221760.lj |
221760ms |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{30} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$8.041466234$ |
$1$ |
|
$1$ |
$1327104$ |
$1.718203$ |
$73929353373/954060800$ |
$0.94486$ |
$3.56295$ |
$[0, 0, 0, 16788, 3863984]$ |
\(y^2=x^3+16788x+3863984\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0.s.1, $\ldots$ |
$[(-2603/7, 576225/7)]$ |
| 242550.gv4 |
242550gv1 |
242550.gv |
242550gv |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$2.697307815$ |
$1$ |
|
$5$ |
$7962624$ |
$2.456154$ |
$73929353373/954060800$ |
$0.94486$ |
$4.25140$ |
$[1, -1, 0, 321333, -323651259]$ |
\(y^2+xy=x^3-x^2+321333x-323651259\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.s.1, 84.24.0.?, $\ldots$ |
$[(909, 26358)]$ |
| 242550.jz4 |
242550jz3 |
242550.jz |
242550jz |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 7^{7} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$3.029564064$ |
$1$ |
|
$5$ |
$23887872$ |
$3.005463$ |
$73929353373/954060800$ |
$0.94486$ |
$4.78304$ |
$[1, -1, 1, 2891995, 8735691997]$ |
\(y^2+xy+y=x^3-x^2+2891995x+8735691997\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.s.1, 84.24.0.?, $\ldots$ |
$[(559, 102320)]$ |
| 277200.ic4 |
277200ic1 |
277200.ic |
277200ic |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$7.008757781$ |
$1$ |
|
$1$ |
$3981312$ |
$2.176346$ |
$73929353373/954060800$ |
$0.94486$ |
$3.93819$ |
$[0, 0, 0, 104925, -60374750]$ |
\(y^2=x^3+104925x-60374750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 60.48.0-60.s.1.9, $\ldots$ |
$[(9970/3, 1015750/3)]$ |
| 277200.mb4 |
277200mb3 |
277200.mb |
277200mb |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$11943936$ |
$2.725655$ |
$73929353373/954060800$ |
$0.94486$ |
$4.46415$ |
$[0, 0, 0, 944325, 1630118250]$ |
\(y^2=x^3+944325x+1630118250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 60.48.0-60.s.1.10, $\ldots$ |
$[]$ |
| 381150.gq4 |
381150gq3 |
381150.gq |
381150gq |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 7 \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$11.74330029$ |
$1$ |
|
$1$ |
$59719680$ |
$3.231453$ |
$73929353373/954060800$ |
$0.94486$ |
$4.82584$ |
$[1, -1, 0, 7141458, 33899580116]$ |
\(y^2+xy=x^3-x^2+7141458x+33899580116\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.s.1, 84.24.0.?, $\ldots$ |
$[(4299980/43, 19876445662/43)]$ |
| 381150.pu4 |
381150pu1 |
381150.pu |
381150pu |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$19906560$ |
$2.682148$ |
$73929353373/954060800$ |
$0.94486$ |
$4.31290$ |
$[1, -1, 1, 793495, -1255804503]$ |
\(y^2+xy+y=x^3-x^2+793495x-1255804503\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.s.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 388080.fj4 |
388080fj3 |
388080.fj |
388080fj |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 7^{7} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$2.893890$ |
$73929353373/954060800$ |
$0.94486$ |
$4.50431$ |
$[0, 0, 0, 1850877, -4473044478]$ |
\(y^2=x^3+1850877x-4473044478\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.s.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 388080.ik4 |
388080ik1 |
388080.ik |
388080ik |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 7^{7} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4620$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7962624$ |
$2.344582$ |
$73929353373/954060800$ |
$0.94486$ |
$3.99210$ |
$[0, 0, 0, 205653, 165668314]$ |
\(y^2=x^3+205653x+165668314\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0.s.1, 84.24.0.?, $\ldots$ |
$[]$ |
