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 |
13766.a1 |
13766a1 |
13766.a |
13766a |
$1$ |
$1$ |
\( 2 \cdot 6883 \) |
\( - 2^{4} \cdot 6883 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$13766$ |
$2$ |
$0$ |
$0.554302953$ |
$1$ |
|
$34$ |
$4896$ |
$-0.288401$ |
$-1263214441/110128$ |
$[1, 0, 1, -23, 42]$ |
\(y^2+xy+y=x^3-23x+42\) |
13766.2.0.? |
$[(3, 0), (-1, 8), (2, 1)]$ |
110128.c1 |
110128d1 |
110128.c |
110128d |
$1$ |
$1$ |
\( 2^{4} \cdot 6883 \) |
\( - 2^{16} \cdot 6883 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13766$ |
$2$ |
$0$ |
$3.683708002$ |
$1$ |
|
$2$ |
$117504$ |
$0.404747$ |
$-1263214441/110128$ |
$[0, -1, 0, -360, -2704]$ |
\(y^2=x^3-x^2-360x-2704\) |
13766.2.0.? |
$[(29, 102)]$ |
123894.j1 |
123894i1 |
123894.j |
123894i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 6883 \) |
\( - 2^{4} \cdot 3^{6} \cdot 6883 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13766$ |
$2$ |
$0$ |
$2.606313684$ |
$1$ |
|
$2$ |
$117504$ |
$0.260905$ |
$-1263214441/110128$ |
$[1, -1, 1, -203, -1141]$ |
\(y^2+xy+y=x^3-x^2-203x-1141\) |
13766.2.0.? |
$[(19, 30)]$ |
344150.c1 |
344150c1 |
344150.c |
344150c |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 6883 \) |
\( - 2^{4} \cdot 5^{6} \cdot 6883 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13766$ |
$2$ |
$0$ |
$2.100589433$ |
$1$ |
|
$2$ |
$391680$ |
$0.516318$ |
$-1263214441/110128$ |
$[1, 1, 1, -563, 5281]$ |
\(y^2+xy+y=x^3+x^2-563x+5281\) |
13766.2.0.? |
$[(11, 18)]$ |
440512.b1 |
440512b1 |
440512.b |
440512b |
$1$ |
$1$ |
\( 2^{6} \cdot 6883 \) |
\( - 2^{22} \cdot 6883 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13766$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$940032$ |
$0.751320$ |
$-1263214441/110128$ |
$[0, 1, 0, -1441, -23073]$ |
\(y^2=x^3+x^2-1441x-23073\) |
13766.2.0.? |
$[]$ |
440512.j1 |
440512j1 |
440512.j |
440512j |
$1$ |
$1$ |
\( 2^{6} \cdot 6883 \) |
\( - 2^{22} \cdot 6883 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13766$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$940032$ |
$0.751320$ |
$-1263214441/110128$ |
$[0, -1, 0, -1441, 23073]$ |
\(y^2=x^3-x^2-1441x+23073\) |
13766.2.0.? |
$[]$ |