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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
22386.z1 |
22386u1 |
22386.z |
22386u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8928$ |
$0.378021$ |
$-81436110288625/14259882$ |
$[1, 0, 0, -903, 10371]$ |
\(y^2+xy=x^3-903x+10371\) |
6888.2.0.? |
$[]$ |
67158.k1 |
67158n1 |
67158.k |
67158n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{7} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71424$ |
$0.927327$ |
$-81436110288625/14259882$ |
$[1, -1, 0, -8127, -280017]$ |
\(y^2+xy=x^3-x^2-8127x-280017\) |
6888.2.0.? |
$[]$ |
156702.bq1 |
156702bc1 |
156702.bq |
156702bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7^{9} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$428544$ |
$1.350975$ |
$-81436110288625/14259882$ |
$[1, 1, 1, -44248, -3601501]$ |
\(y^2+xy+y=x^3+x^2-44248x-3601501\) |
6888.2.0.? |
$[]$ |
179088.v1 |
179088bi1 |
179088.v |
179088bi |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{13} \cdot 3 \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$214272$ |
$1.071169$ |
$-81436110288625/14259882$ |
$[0, -1, 0, -14448, -663744]$ |
\(y^2=x^3-x^2-14448x-663744\) |
6888.2.0.? |
$[]$ |
291018.bg1 |
291018bg1 |
291018.bg |
291018bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7^{3} \cdot 13^{8} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1499904$ |
$1.660496$ |
$-81436110288625/14259882$ |
$[1, 0, 1, -152611, 22937696]$ |
\(y^2+xy+y=x^3-152611x+22937696\) |
6888.2.0.? |
$[]$ |
470106.bt1 |
470106bt1 |
470106.bt |
470106bt |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{7} \cdot 7^{9} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6888$ |
$2$ |
$0$ |
$0.385294303$ |
$1$ |
|
$6$ |
$3428352$ |
$1.900282$ |
$-81436110288625/14259882$ |
$[1, -1, 0, -398232, 96842290]$ |
\(y^2+xy=x^3-x^2-398232x+96842290\) |
6888.2.0.? |
$[(317, 1385)]$ |