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 |
22386.n3 |
22386m1 |
22386.n |
22386m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7808$ |
$0.030379$ |
$1426487591593/179088$ |
$0.83947$ |
$2.79410$ |
$[1, 0, 1, -235, -1402]$ |
\(y^2+xy+y=x^3-235x-1402\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 364.12.0.?, 492.12.0.?, $\ldots$ |
$[]$ |
67158.bg3 |
67158bv1 |
67158.bg |
67158bv |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$62464$ |
$0.579685$ |
$1426487591593/179088$ |
$0.83947$ |
$3.11098$ |
$[1, -1, 1, -2111, 37847]$ |
\(y^2+xy+y=x^3-x^2-2111x+37847\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 164.12.0.?, 728.12.0.?, $\ldots$ |
$[]$ |
156702.b3 |
156702cl1 |
156702.b |
156702cl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3 \cdot 7^{7} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$2.460401315$ |
$1$ |
|
$5$ |
$374784$ |
$1.003334$ |
$1426487591593/179088$ |
$0.83947$ |
$3.31561$ |
$[1, 1, 0, -11491, 469309]$ |
\(y^2+xy=x^3+x^2-11491x+469309\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 56.12.0-4.c.1.4, 728.24.0.?, $\ldots$ |
$[(66, 29)]$ |
179088.ba3 |
179088br1 |
179088.ba |
179088br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{16} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$89544$ |
$48$ |
$0$ |
$3.770928065$ |
$1$ |
|
$3$ |
$187392$ |
$0.723526$ |
$1426487591593/179088$ |
$0.83947$ |
$3.00141$ |
$[0, -1, 0, -3752, 89712]$ |
\(y^2=x^3-x^2-3752x+89712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 364.12.0.?, 492.12.0.?, $\ldots$ |
$[(61, 290)]$ |
291018.cr3 |
291018cr1 |
291018.cr |
291018cr |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{7} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$18.86737445$ |
$1$ |
|
$1$ |
$1311744$ |
$1.312855$ |
$1426487591593/179088$ |
$0.83947$ |
$3.44769$ |
$[1, 0, 0, -39634, -3040012]$ |
\(y^2+xy=x^3-39634x-3040012\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 104.12.0.?, 728.24.0.?, $\ldots$ |
$[(1560882313/2024, 48998667508121/2024)]$ |
470106.gk3 |
470106gk1 |
470106.gk |
470106gk |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2998272$ |
$1.552641$ |
$1426487591593/179088$ |
$0.83947$ |
$3.54141$ |
$[1, -1, 1, -103424, -12774765]$ |
\(y^2+xy+y=x^3-x^2-103424x-12774765\) |
2.3.0.a.1, 4.6.0.c.1, 156.12.0.?, 168.12.0.?, 728.12.0.?, $\ldots$ |
$[]$ |