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 |
30767.a1 |
30767d1 |
30767.a |
30767d |
$1$ |
$1$ |
\( 11 \cdot 2797 \) |
\( 11^{2} \cdot 2797 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$5594$ |
$2$ |
$0$ |
$0.565500783$ |
$1$ |
|
$34$ |
$13632$ |
$-0.203469$ |
$3294646272/338437$ |
$[0, 0, 1, -31, 60]$ |
\(y^2+y=x^3-31x+60\) |
5594.2.0.? |
$[(5, 5), (-6, 5), (4, 0)]$ |
30767.b1 |
30767a1 |
30767.b |
30767a |
$1$ |
$1$ |
\( 11 \cdot 2797 \) |
\( - 11^{8} \cdot 2797 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$11188$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26112$ |
$0.942594$ |
$-69858171006625/599561790157$ |
$[1, 1, 1, -858, 38132]$ |
\(y^2+xy+y=x^3+x^2-858x+38132\) |
11188.2.0.? |
$[]$ |
30767.c1 |
30767c1 |
30767.c |
30767c |
$1$ |
$1$ |
\( 11 \cdot 2797 \) |
\( - 11 \cdot 2797^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12936$ |
$0.343606$ |
$-9061356040192/86055299$ |
$[0, -1, 1, -434, 3657]$ |
\(y^2+y=x^3-x^2-434x+3657\) |
22.2.0.a.1 |
$[]$ |
30767.d1 |
30767b1 |
30767.d |
30767b |
$1$ |
$1$ |
\( 11 \cdot 2797 \) |
\( 11^{4} \cdot 2797 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$5594$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$21504$ |
$0.660102$ |
$8301305492992000/40950877$ |
$[0, 1, 1, -4218, -106859]$ |
\(y^2+y=x^3+x^2-4218x-106859\) |
5594.2.0.? |
$[]$ |