| 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.n4 |
51870o1 |
51870.n |
51870o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 13^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.601955$ |
$64959960000599/1712463779819520$ |
$0.99550$ |
$3.91760$ |
$[1, 1, 0, 838, 1991316]$ |
\(y^2+xy=x^3+x^2+838x+1991316\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 76.12.0.?, $\ldots$ |
$[]$ |
| 155610.dj4 |
155610bx1 |
155610.dj |
155610bx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5 \cdot 7^{2} \cdot 13^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2280$ |
$48$ |
$0$ |
$1.594162198$ |
$1$ |
|
$7$ |
$2949120$ |
$2.151264$ |
$64959960000599/1712463779819520$ |
$0.99550$ |
$4.10896$ |
$[1, -1, 1, 7537, -53757993]$ |
\(y^2+xy+y=x^3-x^2+7537x-53757993\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(395, 3078)]$ |
| 259350.gg4 |
259350gg1 |
259350.gg |
259350gg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{7} \cdot 7^{2} \cdot 13^{2} \cdot 19 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$0.587916145$ |
$1$ |
|
$19$ |
$8847360$ |
$2.406673$ |
$64959960000599/1712463779819520$ |
$0.99550$ |
$4.18645$ |
$[1, 0, 0, 20937, 248872617]$ |
\(y^2+xy=x^3+20937x+248872617\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 190.6.0.?, 380.24.0.?, $\ldots$ |
$[(-138, 15669)]$ |
| 363090.ch4 |
363090ch1 |
363090.ch |
363090ch |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5 \cdot 7^{8} \cdot 13^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$2.436419228$ |
$1$ |
|
$5$ |
$17694720$ |
$2.574913$ |
$64959960000599/1712463779819520$ |
$0.99550$ |
$4.23412$ |
$[1, 0, 1, 41036, -682898254]$ |
\(y^2+xy+y=x^3+41036x-682898254\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[(1441, 47951)]$ |
| 414960.hu4 |
414960hu1 |
414960.hu |
414960hu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{24} \cdot 3^{12} \cdot 5 \cdot 7^{2} \cdot 13^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.295105$ |
$64959960000599/1712463779819520$ |
$0.99550$ |
$3.93085$ |
$[0, 1, 0, 13400, -127417420]$ |
\(y^2=x^3+x^2+13400x-127417420\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.6, 76.12.0.?, $\ldots$ |
$[]$ |
