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 |
36980.a1 |
36980a3 |
36980.a |
36980a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$115668$ |
$1.499956$ |
$488095744/125$ |
$[0, -1, 0, -76425, 8155802]$ |
\(y^2=x^3-x^2-76425x+8155802\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[]$ |
36980.a2 |
36980a4 |
36980.a |
36980a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$231336$ |
$1.846529$ |
$-20720464/15625$ |
$[0, -1, 0, -67180, 10193400]$ |
\(y^2=x^3-x^2-67180x+10193400\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
36980.a3 |
36980a1 |
36980.a |
36980a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 43^{2} \) |
\( 2^{4} \cdot 5 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$9$ |
$1$ |
$9$ |
$3$ |
$1$ |
$38556$ |
$0.950650$ |
$16384/5$ |
$[0, -1, 0, -2465, -31570]$ |
\(y^2=x^3-x^2-2465x-31570\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[]$ |
36980.a4 |
36980a2 |
36980.a |
36980a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$5160$ |
$384$ |
$9$ |
$1$ |
$9$ |
$3$ |
$1$ |
$77112$ |
$1.297224$ |
$21296/25$ |
$[0, -1, 0, 6780, -220168]$ |
\(y^2=x^3-x^2+6780x-220168\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |