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.be5 |
46410be7 |
46410.be |
46410be |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 13^{12} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$185640$ |
$384$ |
$5$ |
$10.04495921$ |
$1$ |
|
$0$ |
$3649536$ |
$3.000771$ |
$-626920492174472718626041/32979221374608565962360$ |
$1.01104$ |
$5.52018$ |
$[1, 0, 1, -1783048, -8785398034]$ |
\(y^2+xy+y=x^3-1783048x-8785398034\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.48.0-12.g.1.10, $\ldots$ |
$[(108307/6, 24381653/6)]$ |
139230.df5 |
139230z7 |
139230.df |
139230z |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{7} \cdot 5 \cdot 7^{4} \cdot 13^{12} \cdot 17^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$185640$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$29196288$ |
$3.550076$ |
$-626920492174472718626041/32979221374608565962360$ |
$1.01104$ |
$5.56469$ |
$[1, -1, 1, -16047428, 237205746911]$ |
\(y^2+xy+y=x^3-x^2-16047428x+237205746911\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.48.0-12.g.1.12, $\ldots$ |
$[]$ |
232050.ek5 |
232050ek8 |
232050.ek |
232050ek |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 5^{7} \cdot 7^{4} \cdot 13^{12} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.7, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$5.473100738$ |
$4$ |
$2$ |
$2$ |
$87588864$ |
$3.805489$ |
$-626920492174472718626041/32979221374608565962360$ |
$1.01104$ |
$5.58269$ |
$[1, 1, 1, -44576188, -1098174754219]$ |
\(y^2+xy+y=x^3+x^2-44576188x-1098174754219\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.3, $\ldots$ |
$[(80655, 22763047)]$ |
324870.m5 |
324870m7 |
324870.m |
324870m |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 7^{10} \cdot 13^{12} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$5.303920565$ |
$4$ |
$2$ |
$2$ |
$175177728$ |
$3.973724$ |
$-626920492174472718626041/32979221374608565962360$ |
$1.01104$ |
$5.59375$ |
$[1, 1, 0, -87369328, 3013304156248]$ |
\(y^2+xy=x^3+x^2-87369328x+3013304156248\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(56181, 13217026)]$ |
371280.by5 |
371280by7 |
371280.by |
371280by |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3 \cdot 5 \cdot 7^{4} \cdot 13^{12} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$185640$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$87588864$ |
$3.693916$ |
$-626920492174472718626041/32979221374608565962360$ |
$1.01104$ |
$5.27369$ |
$[0, -1, 0, -28528760, 562265474160]$ |
\(y^2=x^3-x^2-28528760x+562265474160\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.4, $\ldots$ |
$[]$ |