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 |
73689.f2 |
73689j1 |
73689.f |
73689j |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{3} \cdot 7^{2} \cdot 11^{9} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$304128$ |
$1.675428$ |
$5706550403/1112643$ |
$0.83764$ |
$3.93000$ |
$[1, 1, 1, -49552, 3436544]$ |
\(y^2+xy+y=x^3+x^2-49552x+3436544\) |
2.3.0.a.1, 66.6.0.a.1, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[]$ |
73689.w2 |
73689a1 |
73689.w |
73689a |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{3} \cdot 7^{2} \cdot 11^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$0.476480$ |
$5706550403/1112643$ |
$0.83764$ |
$2.64629$ |
$[1, 1, 0, -409, -2768]$ |
\(y^2+xy=x^3+x^2-409x-2768\) |
2.3.0.a.1, 66.6.0.a.1, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[]$ |
221067.c2 |
221067c1 |
221067.c |
221067c |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{9} \cdot 7^{2} \cdot 11^{3} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1.053575329$ |
$1$ |
|
$19$ |
$221184$ |
$1.025787$ |
$5706550403/1112643$ |
$0.83764$ |
$2.94568$ |
$[1, -1, 1, -3686, 71052]$ |
\(y^2+xy+y=x^3-x^2-3686x+71052\) |
2.3.0.a.1, 66.6.0.a.1, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[(14, 141), (18, 92)]$ |
221067.ba2 |
221067ba1 |
221067.ba |
221067ba |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{9} \cdot 7^{2} \cdot 11^{9} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2433024$ |
$2.224735$ |
$5706550403/1112643$ |
$0.83764$ |
$4.11480$ |
$[1, -1, 0, -445968, -93232661]$ |
\(y^2+xy=x^3-x^2-445968x-93232661\) |
2.3.0.a.1, 66.6.0.a.1, 348.6.0.?, 1276.6.0.?, 3828.12.0.? |
$[]$ |