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.i2 |
46410k3 |
46410.i |
46410k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{16} \cdot 5 \cdot 7 \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$61880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$360448$ |
$1.657240$ |
$5071506329733538969/2926108608384780$ |
$0.98487$ |
$4.00829$ |
$[1, 1, 0, -35793, 127737]$ |
\(y^2+xy=x^3+x^2-35793x+127737\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.2, 104.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
139230.ep2 |
139230h4 |
139230.ep |
139230h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{22} \cdot 5 \cdot 7 \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2883584$ |
$2.206547$ |
$5071506329733538969/2926108608384780$ |
$0.98487$ |
$4.19304$ |
$[1, -1, 1, -322142, -3771039]$ |
\(y^2+xy+y=x^3-x^2-322142x-3771039\) |
2.3.0.a.1, 4.6.0.c.1, 204.12.0.?, 312.12.0.?, 420.12.0.?, $\ldots$ |
$[]$ |
232050.fw2 |
232050fw3 |
232050.fw |
232050fw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{7} \cdot 7 \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$61880$ |
$48$ |
$0$ |
$2.607935450$ |
$1$ |
|
$4$ |
$8650752$ |
$2.461960$ |
$5071506329733538969/2926108608384780$ |
$0.98487$ |
$4.26775$ |
$[1, 0, 0, -894838, 17756792]$ |
\(y^2+xy=x^3-894838x+17756792\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 340.12.0.?, 520.12.0.?, $\ldots$ |
$[(1316, 32804)]$ |
324870.ci2 |
324870ci4 |
324870.ci |
324870ci |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 3^{16} \cdot 5 \cdot 7^{7} \cdot 13^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$61880$ |
$48$ |
$0$ |
$1.539447685$ |
$1$ |
|
$20$ |
$17301504$ |
$2.630196$ |
$5071506329733538969/2926108608384780$ |
$0.98487$ |
$4.31368$ |
$[1, 0, 1, -1753883, -49075414]$ |
\(y^2+xy+y=x^3-1753883x-49075414\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 476.12.0.?, 728.12.0.?, $\ldots$ |
$[(-423, 25054), (-129, 13294)]$ |
371280.dv2 |
371280dv4 |
371280.dv |
371280dv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{16} \cdot 5 \cdot 7 \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$61880$ |
$48$ |
$0$ |
$1.817627407$ |
$1$ |
|
$7$ |
$8650752$ |
$2.350388$ |
$5071506329733538969/2926108608384780$ |
$0.98487$ |
$4.00695$ |
$[0, 1, 0, -572696, -9320556]$ |
\(y^2=x^3+x^2-572696x-9320556\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.1, 104.12.0.?, 140.12.0.?, $\ldots$ |
$[(-20, 1458)]$ |