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.k1 |
46410h4 |
46410.k |
46410h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 7 \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$37128$ |
$48$ |
$0$ |
$1.667772382$ |
$4$ |
$2$ |
$6$ |
$147456$ |
$1.178253$ |
$23989788887201929/7965841406250$ |
$0.90340$ |
$3.51005$ |
$[1, 1, 0, -6008, -119538]$ |
\(y^2+xy=x^3+x^2-6008x-119538\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 104.24.0.?, 1428.12.0.?, $\ldots$ |
$[(-23, 96)]$ |
139230.eg1 |
139230e3 |
139230.eg |
139230e |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 7 \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$4.047036153$ |
$1$ |
|
$0$ |
$1179648$ |
$1.727560$ |
$23989788887201929/7965841406250$ |
$0.90340$ |
$3.74101$ |
$[1, -1, 1, -54077, 3173451]$ |
\(y^2+xy+y=x^3-x^2-54077x+3173451\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[(1679/2, 57267/2)]$ |
232050.gi1 |
232050gi4 |
232050.gi |
232050gi |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2 \cdot 3 \cdot 5^{14} \cdot 7 \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3538944$ |
$1.982971$ |
$23989788887201929/7965841406250$ |
$0.90340$ |
$3.83441$ |
$[1, 0, 0, -150213, -14641833]$ |
\(y^2+xy=x^3-150213x-14641833\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 104.12.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
324870.cv1 |
324870cv3 |
324870.cv |
324870cv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 7^{7} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$1.007867447$ |
$1$ |
|
$4$ |
$7077888$ |
$2.151207$ |
$23989788887201929/7965841406250$ |
$0.90340$ |
$3.89183$ |
$[1, 0, 1, -294418, 40118306]$ |
\(y^2+xy+y=x^3-294418x+40118306\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 104.12.0.?, 204.12.0.?, $\ldots$ |
$[(-570, 5062)]$ |
371280.dk1 |
371280dk3 |
371280.dk |
371280dk |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{13} \cdot 3 \cdot 5^{8} \cdot 7 \cdot 13^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$37128$ |
$48$ |
$0$ |
$25.25543852$ |
$1$ |
|
$5$ |
$3538944$ |
$1.871401$ |
$23989788887201929/7965841406250$ |
$0.90340$ |
$3.58949$ |
$[0, 1, 0, -96136, 7458164]$ |
\(y^2=x^3+x^2-96136x+7458164\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 104.24.0.?, 1428.12.0.?, $\ldots$ |
$[(1780, 74022), (700, 16842)]$ |