| 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.n2 |
51870o3 |
51870.n |
51870o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 13^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1474560$ |
$2.295105$ |
$13580142956944487962921/5625758146983057720$ |
$0.96710$ |
$4.69423$ |
$[1, 1, 0, -497042, -72104676]$ |
\(y^2+xy=x^3+x^2-497042x-72104676\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
| 155610.dj2 |
155610bx3 |
155610.dj |
155610bx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{9} \cdot 5 \cdot 7^{2} \cdot 13^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$6.376648792$ |
$1$ |
|
$0$ |
$11796480$ |
$2.844410$ |
$13580142956944487962921/5625758146983057720$ |
$0.96710$ |
$4.81422$ |
$[1, -1, 1, -4473383, 1942352871]$ |
\(y^2+xy+y=x^3-x^2-4473383x+1942352871\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(8847/2, 419295/2)]$ |
| 259350.gg2 |
259350gg4 |
259350.gg |
259350gg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{7} \cdot 7^{2} \cdot 13^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$0.587916145$ |
$1$ |
|
$10$ |
$35389440$ |
$3.099823$ |
$13580142956944487962921/5625758146983057720$ |
$0.96710$ |
$4.86281$ |
$[1, 0, 0, -12426063, -8988232383]$ |
\(y^2+xy=x^3-12426063x-8988232383\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[(-2028, 89739)]$ |
| 363090.ch2 |
363090ch3 |
363090.ch |
363090ch |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 13^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$0.609104807$ |
$1$ |
|
$8$ |
$70778880$ |
$3.268059$ |
$13580142956944487962921/5625758146983057720$ |
$0.96710$ |
$4.89270$ |
$[1, 0, 1, -24355084, 24658838642]$ |
\(y^2+xy+y=x^3-24355084x+24658838642\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[(4750, 124706)]$ |
| 414960.hu2 |
414960hu3 |
414960.hu |
414960hu |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 13^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35389440$ |
$2.988251$ |
$13580142956944487962921/5625758146983057720$ |
$0.96710$ |
$4.58263$ |
$[0, 1, 0, -7952680, 4598793908]$ |
\(y^2=x^3+x^2-7952680x+4598793908\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
