| 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 |
Manin constant |
| 82110.bs5 |
82110bt2 |
82110.bs |
82110bt |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 17^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.40 |
2Cs |
$656880$ |
$768$ |
$13$ |
$2.034865242$ |
$1$ |
|
$36$ |
$14680064$ |
$3.300953$ |
$13350979617415439280823624321/363628103290905600000000$ |
$0.99237$ |
$5.72309$ |
$[1, 0, 0, -49423080, 130545230400]$ |
\(y^2+xy=x^3-49423080x+130545230400\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.l.2.2, 240.192.1.?, 644.48.0.?, $\ldots$ |
$[(3480, 24720)]$ |
$1$ |
| 246330.j5 |
246330j2 |
246330.j |
246330j |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \cdot 23 \) |
\( 2^{16} \cdot 3^{14} \cdot 5^{8} \cdot 7^{2} \cdot 17^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.98 |
2Cs |
$656880$ |
$768$ |
$13$ |
$20.10339399$ |
$1$ |
|
$2$ |
$117440512$ |
$3.850258$ |
$13350979617415439280823624321/363628103290905600000000$ |
$0.99237$ |
$5.74759$ |
$[1, -1, 0, -444807720, -3524721220800]$ |
\(y^2+xy=x^3-x^2-444807720x-3524721220800\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 12.24.0-4.b.1.3, 24.96.0-8.l.2.3, $\ldots$ |
$[(-66092813255/2496, 223842571384115/2496)]$ |
$1$ |
| 410550.u5 |
410550u2 |
410550.u |
410550u |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \cdot 23 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{14} \cdot 7^{2} \cdot 17^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.98 |
2Cs |
$656880$ |
$768$ |
$13$ |
$13.76671617$ |
$1$ |
|
$2$ |
$352321536$ |
$4.105675$ |
$13350979617415439280823624321/363628103290905600000000$ |
$0.99237$ |
$5.75757$ |
$[1, 1, 0, -1235577000, 16318153800000]$ |
\(y^2+xy=x^3+x^2-1235577000x+16318153800000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 20.24.0-4.b.1.3, 40.96.0-8.l.2.2, $\ldots$ |
$[(117912801/61, 676821857718/61)]$ |
$1$ |
