| 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 |
| 25383.a1 |
25383a1 |
25383.a |
25383a |
$1$ |
$1$ |
\( 3 \cdot 8461 \) |
\( 3^{2} \cdot 8461 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$16922$ |
$2$ |
$0$ |
$0.550031411$ |
$1$ |
|
$34$ |
$7680$ |
$-0.272481$ |
$3738308608/76149$ |
$0.73492$ |
$2.17336$ |
$[0, -1, 1, -32, 80]$ |
\(y^2+y=x^3-x^2-32x+80\) |
16922.2.0.? |
$[(2, 4), (5, 4), (4, 0)]$ |
| 25383.b1 |
25383b1 |
25383.b |
25383b |
$1$ |
$1$ |
\( 3 \cdot 8461 \) |
\( 3^{14} \cdot 8461 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$16922$ |
$2$ |
$0$ |
$0.461369095$ |
$1$ |
|
$16$ |
$30912$ |
$0.766141$ |
$337386109136896/40468700709$ |
$0.86811$ |
$3.29844$ |
$[0, 1, 1, -1450, -19412]$ |
\(y^2+y=x^3+x^2-1450x-19412\) |
16922.2.0.? |
$[(-19, 40), (-67/2, 167/2)]$ |
| 25383.c1 |
25383c1 |
25383.c |
25383c |
$1$ |
$1$ |
\( 3 \cdot 8461 \) |
\( 3^{2} \cdot 8461 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$16922$ |
$2$ |
$0$ |
$0.843648169$ |
$1$ |
|
$2$ |
$3072$ |
$0.011420$ |
$1633027096576/76149$ |
$0.92335$ |
$2.77282$ |
$[0, 1, 1, -245, 1397]$ |
\(y^2+y=x^3+x^2-245x+1397\) |
16922.2.0.? |
$[(9, 1)]$ |
| 25383.d1 |
25383d2 |
25383.d |
25383d |
$2$ |
$3$ |
\( 3 \cdot 8461 \) |
\( 3^{4} \cdot 8461^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$50766$ |
$16$ |
$0$ |
$1.328112234$ |
$1$ |
|
$0$ |
$48384$ |
$1.342220$ |
$237369824560709632/49062548570661$ |
$0.93336$ |
$3.94489$ |
$[0, 1, 1, -12899, -456415]$ |
\(y^2+y=x^3+x^2-12899x-456415\) |
3.8.0-3.a.1.1, 16922.2.0.?, 50766.16.0.? |
$[(-3125/7, 114052/7)]$ |
| 25383.d2 |
25383d1 |
25383.d |
25383d |
$2$ |
$3$ |
\( 3 \cdot 8461 \) |
\( 3^{12} \cdot 8461 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$50766$ |
$16$ |
$0$ |
$3.984336704$ |
$1$ |
|
$2$ |
$16128$ |
$0.792914$ |
$7021415756726272/4496522301$ |
$1.00307$ |
$3.59775$ |
$[0, 1, 1, -3989, 95600]$ |
\(y^2+y=x^3+x^2-3989x+95600\) |
3.8.0-3.a.1.2, 16922.2.0.?, 50766.16.0.? |
$[(-155/2, 3515/2)]$ |
