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.o1 |
22386s4 |
22386.o |
22386s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{4} \cdot 13 \cdot 41^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$89544$ |
$48$ |
$0$ |
$4.237880430$ |
$1$ |
|
$4$ |
$61440$ |
$1.223724$ |
$86229623764904257/9525651634044$ |
$[1, 1, 1, -9204, 301881]$ |
\(y^2+xy+y=x^3+x^2-9204x+301881\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 156.24.0.?, 2296.24.0.?, 89544.48.0.? |
$[(669, 16815)]$ |
67158.w1 |
67158u4 |
67158.w |
67158u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{9} \cdot 7^{4} \cdot 13 \cdot 41^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$491520$ |
$1.773029$ |
$86229623764904257/9525651634044$ |
$[1, -1, 0, -82836, -8233628]$ |
\(y^2+xy=x^3-x^2-82836x-8233628\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.1, 156.24.0.?, $\ldots$ |
$[]$ |
156702.cx1 |
156702p4 |
156702.cx |
156702p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{10} \cdot 13 \cdot 41^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2949120$ |
$2.196678$ |
$86229623764904257/9525651634044$ |
$[1, 0, 0, -450997, -104898235]$ |
\(y^2+xy=x^3-450997x-104898235\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 156.12.0.?, 328.12.0.?, $\ldots$ |
$[]$ |
179088.bo1 |
179088c4 |
179088.bo |
179088c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{4} \cdot 13 \cdot 41^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$89544$ |
$48$ |
$0$ |
$2.252042885$ |
$1$ |
|
$5$ |
$1474560$ |
$1.916872$ |
$86229623764904257/9525651634044$ |
$[0, 1, 0, -147264, -19614924]$ |
\(y^2=x^3+x^2-147264x-19614924\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 156.24.0.?, 2296.24.0.?, 89544.48.0.? |
$[(-228, 1470)]$ |
291018.u1 |
291018u3 |
291018.u |
291018u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{4} \cdot 13^{7} \cdot 41^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$3.289606526$ |
$1$ |
|
$4$ |
$10321920$ |
$2.506199$ |
$86229623764904257/9525651634044$ |
$[1, 1, 0, -1555479, 671010345]$ |
\(y^2+xy=x^3+x^2-1555479x+671010345\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 52.12.0-4.c.1.2, 156.24.0.?, $\ldots$ |
$[(902, 1239)]$ |
470106.s1 |
470106s3 |
470106.s |
470106s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{9} \cdot 7^{10} \cdot 13 \cdot 41^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1.919426491$ |
$1$ |
|
$16$ |
$23592960$ |
$2.745987$ |
$86229623764904257/9525651634044$ |
$[1, -1, 0, -4058973, 2832252345]$ |
\(y^2+xy=x^3-x^2-4058973x+2832252345\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$ |
$[(807, 8637), (192, 45291)]$ |