| 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 |
| 51870.bi1 |
51870bg4 |
51870.bi |
51870bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$13832$ |
$48$ |
$0$ |
$0.710141504$ |
$4$ |
$2$ |
$6$ |
$262144$ |
$1.491461$ |
$1152196308890224287481/5336644950$ |
$0.99231$ |
$4.46700$ |
$[1, 0, 1, -218408, 39268856]$ |
\(y^2+xy+y=x^3-218408x+39268856\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 152.24.0.?, 364.12.0.?, $\ldots$ |
$[(270, -128)]$ |
| 155610.de1 |
155610bt4 |
155610.de |
155610bt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2 \cdot 3^{8} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$10.21959557$ |
$4$ |
$2$ |
$0$ |
$2097152$ |
$2.040768$ |
$1152196308890224287481/5336644950$ |
$0.99231$ |
$4.60787$ |
$[1, -1, 1, -1965668, -1060259119]$ |
\(y^2+xy+y=x^3-x^2-1965668x-1060259119\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 152.12.0.?, 456.24.0.?, $\ldots$ |
$[(362671/14, 108424833/14)]$ |
| 259350.fg1 |
259350fg3 |
259350.fg |
259350fg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2 \cdot 3^{2} \cdot 5^{8} \cdot 7 \cdot 13 \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$69160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6291456$ |
$2.296181$ |
$1152196308890224287481/5336644950$ |
$0.99231$ |
$4.66492$ |
$[1, 1, 1, -5460188, 4908607031]$ |
\(y^2+xy+y=x^3+x^2-5460188x+4908607031\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 152.12.0.?, 728.12.0.?, $\ldots$ |
$[]$ |
| 363090.q1 |
363090q4 |
363090.q |
363090q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{7} \cdot 13 \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12582912$ |
$2.464417$ |
$1152196308890224287481/5336644950$ |
$0.99231$ |
$4.70001$ |
$[1, 1, 0, -10701968, -13479919662]$ |
\(y^2+xy=x^3+x^2-10701968x-13479919662\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 56.12.0-4.c.1.1, 152.12.0.?, $\ldots$ |
$[]$ |
| 414960.dq1 |
414960dq4 |
414960.dq |
414960dq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$13832$ |
$48$ |
$0$ |
$3.643780261$ |
$1$ |
|
$3$ |
$6291456$ |
$2.184608$ |
$1152196308890224287481/5336644950$ |
$0.99231$ |
$4.39193$ |
$[0, -1, 0, -3494520, -2513206800]$ |
\(y^2=x^3-x^2-3494520x-2513206800\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 152.24.0.?, 364.12.0.?, $\ldots$ |
$[(2170, 10830)]$ |
