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 |
30446.f2 |
30446d1 |
30446.f |
30446d |
$2$ |
$3$ |
\( 2 \cdot 13 \cdot 1171 \) |
\( 2^{6} \cdot 13^{6} \cdot 1171 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$14052$ |
$16$ |
$0$ |
$5.171007788$ |
$1$ |
|
$2$ |
$107136$ |
$1.373999$ |
$34150759536102366457/361740373696$ |
$0.91972$ |
$4.35670$ |
$[1, 0, 1, -67592, 6758038]$ |
\(y^2+xy+y=x^3-67592x+6758038\) |
3.8.0-3.a.1.2, 4684.2.0.?, 14052.16.0.? |
$[(5401/7, 257461/7)]$ |
243568.g2 |
243568g1 |
243568.g |
243568g |
$2$ |
$3$ |
\( 2^{4} \cdot 13 \cdot 1171 \) |
\( 2^{18} \cdot 13^{6} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14052$ |
$16$ |
$0$ |
$3.658764709$ |
$1$ |
|
$0$ |
$2571264$ |
$2.067146$ |
$34150759536102366457/361740373696$ |
$0.91972$ |
$4.29690$ |
$[0, -1, 0, -1081464, -432514448]$ |
\(y^2=x^3-x^2-1081464x-432514448\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 4684.2.0.?, 7026.8.0.?, 14052.16.0.? |
$[(-5414/3, 26/3)]$ |
274014.m2 |
274014m1 |
274014.m |
274014m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 1171 \) |
\( 2^{6} \cdot 3^{6} \cdot 13^{6} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$14052$ |
$16$ |
$0$ |
$1.288580676$ |
$1$ |
|
$4$ |
$3214080$ |
$1.923306$ |
$34150759536102366457/361740373696$ |
$0.91972$ |
$4.11862$ |
$[1, -1, 1, -608324, -182467033]$ |
\(y^2+xy+y=x^3-x^2-608324x-182467033\) |
3.8.0-3.a.1.1, 4684.2.0.?, 14052.16.0.? |
$[(-449, 237)]$ |
395798.t2 |
395798t1 |
395798.t |
395798t |
$2$ |
$3$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( 2^{6} \cdot 13^{12} \cdot 1171 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$182676$ |
$16$ |
$0$ |
$1.617461054$ |
$1$ |
|
$4$ |
$17998848$ |
$2.656475$ |
$34150759536102366457/361740373696$ |
$0.91972$ |
$4.68373$ |
$[1, 0, 0, -11422967, 14858833001]$ |
\(y^2+xy=x^3-11422967x+14858833001\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 4684.2.0.?, 14052.8.0.?, 182676.16.0.? |
$[(8594, 738289)]$ |