| 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 |
| 7770.q2 |
7770r3 |
7770.q |
7770r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2 \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10240$ |
$0.864545$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$3.96291$ |
$[1, 1, 1, -2870, -58903]$ |
\(y^2+xy+y=x^3+x^2-2870x-58903\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.v.1.1, 888.24.0.?, 4440.48.0.? |
$[]$ |
| 23310.e2 |
23310h3 |
23310.e |
23310h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( 2 \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$0.625681658$ |
$1$ |
|
$8$ |
$81920$ |
$1.413851$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.18544$ |
$[1, -1, 0, -25830, 1564546]$ |
\(y^2+xy=x^3-x^2-25830x+1564546\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(77, 128)]$ |
| 38850.bn2 |
38850bj3 |
38850.bn |
38850bj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2 \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4440$ |
$48$ |
$0$ |
$2.504966827$ |
$1$ |
|
$2$ |
$245760$ |
$1.669264$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.27316$ |
$[1, 0, 1, -71751, -7219352]$ |
\(y^2+xy+y=x^3-71751x-7219352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$ |
$[(332, 2196)]$ |
| 54390.cs2 |
54390cp3 |
54390.cs |
54390cp |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2 \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$3.350832001$ |
$1$ |
|
$0$ |
$491520$ |
$1.837500$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.32645$ |
$[1, 0, 0, -140631, 19781775]$ |
\(y^2+xy=x^3-140631x+19781775\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0.v.1, 280.24.0.?, $\ldots$ |
$[(531/2, 14343/2)]$ |
| 62160.cz2 |
62160db3 |
62160.cz |
62160db |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{13} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 37^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$245760$ |
$1.557692$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$3.96990$ |
$[0, 1, 0, -45920, 3677940]$ |
\(y^2=x^3+x^2-45920x+3677940\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 888.24.0.?, 4440.48.0.? |
$[]$ |
| 116550.fe2 |
116550ep3 |
116550.fe |
116550ep |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2 \cdot 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1966080$ |
$2.218571$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.43578$ |
$[1, -1, 1, -645755, 194922497]$ |
\(y^2+xy+y=x^3-x^2-645755x+194922497\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 163170.cq2 |
163170dm4 |
163170.cq |
163170dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2 \cdot 3^{10} \cdot 5 \cdot 7^{8} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$5.647309385$ |
$1$ |
|
$2$ |
$3932160$ |
$2.386806$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.47963$ |
$[1, -1, 0, -1265679, -534107925]$ |
\(y^2+xy=x^3-x^2-1265679x-534107925\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 84.12.0.?, 840.24.0.?, $\ldots$ |
$[(1339, 12389)]$ |
| 186480.bs2 |
186480bq4 |
186480.bs |
186480bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{13} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1.908504284$ |
$1$ |
|
$7$ |
$1966080$ |
$2.106998$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.15367$ |
$[0, 0, 0, -413283, -99717662]$ |
\(y^2=x^3-413283x-99717662\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(-337, 1134)]$ |
| 248640.bf2 |
248640bf3 |
248640.bf |
248640bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{19} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4440$ |
$48$ |
$0$ |
$4.188170784$ |
$1$ |
|
$3$ |
$1966080$ |
$1.904264$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$3.86167$ |
$[0, -1, 0, -183681, 29607201]$ |
\(y^2=x^3-x^2-183681x+29607201\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$ |
$[(379, 3780)]$ |
| 248640.fc2 |
248640fc4 |
248640.fc |
248640fc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( 2^{19} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$1.904264$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$3.86167$ |
$[0, 1, 0, -183681, -29607201]$ |
\(y^2=x^3+x^2-183681x-29607201\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0-4.c.1.1, 40.24.0-40.v.1.4, $\ldots$ |
$[]$ |
| 271950.bh2 |
271950bh3 |
271950.bh |
271950bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( 2 \cdot 3^{4} \cdot 5^{7} \cdot 7^{8} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11796480$ |
$2.642220$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.54169$ |
$[1, 1, 0, -3515775, 2472721875]$ |
\(y^2+xy=x^3+x^2-3515775x+2472721875\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.v.1, 56.12.0-4.c.1.2, 140.12.0.?, $\ldots$ |
$[]$ |
| 287490.b2 |
287490b4 |
287490.b |
287490b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \) |
\( 2 \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 37^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$10.40250133$ |
$1$ |
|
$0$ |
$14008320$ |
$2.670002$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.54814$ |
$[1, 1, 0, -3929058, -2924668782]$ |
\(y^2+xy=x^3+x^2-3929058x-2924668782\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[(-102681/10, 5846283/10)]$ |
| 310800.bd2 |
310800bd3 |
310800.bd |
310800bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{7} \cdot 7^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$2.362411$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.22825$ |
$[0, -1, 0, -1148008, 462038512]$ |
\(y^2=x^3-x^2-1148008x+462038512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$ |
$[]$ |
| 435120.y2 |
435120y4 |
435120.y |
435120y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( 2^{13} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$2.530647$ |
$2614441086442081/74385450090$ |
$0.92169$ |
$4.27416$ |
$[0, -1, 0, -2250096, -1266033600]$ |
\(y^2=x^3-x^2-2250096x-1266033600\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0.v.1, 280.24.0.?, $\ldots$ |
$[]$ |
