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 |
67830.r4 |
67830q3 |
67830.r |
67830q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{4} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$90440$ |
$48$ |
$0$ |
$1.096989739$ |
$1$ |
|
$6$ |
$147456$ |
$1.142923$ |
$184715807453351/6857260351830$ |
$0.91222$ |
$3.32550$ |
$[1, 0, 1, 1186, 125102]$ |
\(y^2+xy+y=x^3+1186x+125102\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[(48, 517)]$ |
203490.ec4 |
203490f3 |
203490.ec |
203490f |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2 \cdot 3^{8} \cdot 5 \cdot 7 \cdot 17^{4} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$271320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1179648$ |
$1.692230$ |
$184715807453351/6857260351830$ |
$0.91222$ |
$3.56587$ |
$[1, -1, 1, 10678, -3377761]$ |
\(y^2+xy+y=x^3-x^2+10678x-3377761\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 280.12.0.?, 420.12.0.?, $\ldots$ |
$[]$ |
339150.dj4 |
339150dj4 |
339150.dj |
339150dj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \cdot 19 \) |
\( - 2 \cdot 3^{2} \cdot 5^{7} \cdot 7 \cdot 17^{4} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$90440$ |
$48$ |
$0$ |
$5.915699795$ |
$1$ |
|
$0$ |
$3538944$ |
$1.947643$ |
$184715807453351/6857260351830$ |
$0.91222$ |
$3.66352$ |
$[1, 1, 1, 29662, 15637781]$ |
\(y^2+xy+y=x^3+x^2+29662x+15637781\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.1, 280.24.0.?, $\ldots$ |
$[(-779/4, 241685/4)]$ |
474810.bg4 |
474810bg3 |
474810.bg |
474810bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \cdot 19 \) |
\( - 2 \cdot 3^{2} \cdot 5 \cdot 7^{7} \cdot 17^{4} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$90440$ |
$48$ |
$0$ |
$5.277748894$ |
$1$ |
|
$0$ |
$7077888$ |
$2.115879$ |
$184715807453351/6857260351830$ |
$0.91222$ |
$3.72367$ |
$[1, 1, 0, 58138, -42851934]$ |
\(y^2+xy=x^3+x^2+58138x-42851934\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 56.12.0-4.c.1.2, 280.24.0.?, $\ldots$ |
$[(2335/2, 108063/2)]$ |