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 |
46410.k3 |
46410h1 |
46410.k |
46410h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$37128$ |
$48$ |
$0$ |
$1.667772382$ |
$1$ |
|
$5$ |
$36864$ |
$0.485106$ |
$1564491509212969/1856400$ |
$0.87684$ |
$3.25598$ |
$[1, 1, 0, -2418, 44772]$ |
\(y^2+xy=x^3+x^2-2418x+44772\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[(29, -5)]$ |
139230.eg3 |
139230e1 |
139230.eg |
139230e |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$4.047036153$ |
$1$ |
|
$3$ |
$294912$ |
$1.034412$ |
$1564491509212969/1856400$ |
$0.87684$ |
$3.51051$ |
$[1, -1, 1, -21767, -1230609]$ |
\(y^2+xy+y=x^3-x^2-21767x-1230609\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[(171, 74)]$ |
232050.gi3 |
232050gi1 |
232050.gi |
232050gi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$1.289825$ |
$1564491509212969/1856400$ |
$0.87684$ |
$3.61344$ |
$[1, 0, 0, -60463, 5717417]$ |
\(y^2+xy=x^3-60463x+5717417\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 104.12.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
324870.cv3 |
324870cv1 |
324870.cv |
324870cv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$4.031469789$ |
$4$ |
$2$ |
$3$ |
$1769472$ |
$1.458061$ |
$1564491509212969/1856400$ |
$0.87684$ |
$3.67671$ |
$[1, 0, 1, -118508, -15712294]$ |
\(y^2+xy+y=x^3-118508x-15712294\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 104.12.0.?, 204.12.0.?, $\ldots$ |
$[(1565, 59487)]$ |
371280.dk3 |
371280dk1 |
371280.dk |
371280dk |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$37128$ |
$48$ |
$0$ |
$25.25543852$ |
$1$ |
|
$3$ |
$884736$ |
$1.178253$ |
$1564491509212969/1856400$ |
$0.87684$ |
$3.37661$ |
$[0, 1, 0, -38696, -2942796]$ |
\(y^2=x^3+x^2-38696x-2942796\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$ |
$[(462, 8832), (2110/3, 25984/3)]$ |