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 |
32487.m1 |
32487a1 |
32487.m |
32487a |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{4} \cdot 7^{4} \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$2.755768110$ |
$1$ |
|
$0$ |
$16896$ |
$0.378708$ |
$15957372928/17901$ |
$0.92271$ |
$3.01069$ |
$[0, -1, 1, -702, 7391]$ |
\(y^2+y=x^3-x^2-702x+7391\) |
442.2.0.? |
$[(45/2, 221/2)]$ |
32487.p1 |
32487p1 |
32487.p |
32487p |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{4} \cdot 7^{10} \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$8.450689736$ |
$1$ |
|
$0$ |
$118272$ |
$1.351664$ |
$15957372928/17901$ |
$0.92271$ |
$4.13456$ |
$[0, 1, 1, -34414, -2466383]$ |
\(y^2+y=x^3+x^2-34414x-2466383\) |
442.2.0.? |
$[(-26815/16, 33121/16)]$ |
97461.c1 |
97461f1 |
97461.c |
97461f |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 7^{4} \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1.791739095$ |
$1$ |
|
$4$ |
$135168$ |
$0.928014$ |
$15957372928/17901$ |
$0.92271$ |
$3.29658$ |
$[0, 0, 1, -6321, -193244]$ |
\(y^2+y=x^3-6321x-193244\) |
442.2.0.? |
$[(-47, 4)]$ |
97461.g1 |
97461p1 |
97461.g |
97461p |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{10} \cdot 7^{10} \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$946176$ |
$1.900969$ |
$15957372928/17901$ |
$0.92271$ |
$4.31297$ |
$[0, 0, 1, -309729, 66282606]$ |
\(y^2+y=x^3-309729x+66282606\) |
442.2.0.? |
$[]$ |
422331.c1 |
422331c1 |
422331.c |
422331c |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 7^{4} \cdot 13^{7} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$0.443682537$ |
$1$ |
|
$16$ |
$2838528$ |
$1.661182$ |
$15957372928/17901$ |
$0.92271$ |
$3.60261$ |
$[0, -1, 1, -118694, 15763880]$ |
\(y^2+y=x^3-x^2-118694x+15763880\) |
442.2.0.? |
$[(230, 760), (61, 2957)]$ |
422331.k1 |
422331k1 |
422331.k |
422331k |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 7^{10} \cdot 13^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$6.803201619$ |
$1$ |
|
$0$ |
$19869696$ |
$2.634136$ |
$15957372928/17901$ |
$0.92271$ |
$4.50394$ |
$[0, 1, 1, -5816022, -5395378894]$ |
\(y^2+y=x^3+x^2-5816022x-5395378894\) |
442.2.0.? |
$[(-68925/7, 721036/7)]$ |