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 |
32487.l1 |
32487h1 |
32487.l |
32487h |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{2} \cdot 7^{10} \cdot 13^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$592704$ |
$1.883810$ |
$776703004672/97144749$ |
$[0, -1, 1, -125652, -15136549]$ |
\(y^2+y=x^3-x^2-125652x-15136549\) |
442.2.0.? |
$[]$ |
32487.o1 |
32487j1 |
32487.o |
32487j |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{2} \cdot 7^{4} \cdot 13^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84672$ |
$0.910855$ |
$776703004672/97144749$ |
$[0, 1, 1, -2564, 43397]$ |
\(y^2+y=x^3+x^2-2564x+43397\) |
442.2.0.? |
$[]$ |
97461.d1 |
97461t1 |
97461.d |
97461t |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 7^{10} \cdot 13^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4741632$ |
$2.433117$ |
$776703004672/97144749$ |
$[0, 0, 1, -1130871, 409817686]$ |
\(y^2+y=x^3-1130871x+409817686\) |
442.2.0.? |
$[]$ |
97461.h1 |
97461e1 |
97461.h |
97461e |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 3^{8} \cdot 7^{4} \cdot 13^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1.726388267$ |
$1$ |
|
$2$ |
$677376$ |
$1.460161$ |
$776703004672/97144749$ |
$[0, 0, 1, -23079, -1194804]$ |
\(y^2+y=x^3-23079x-1194804\) |
442.2.0.? |
$[(-82, 382)]$ |
422331.d1 |
422331d1 |
422331.d |
422331d |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 7^{10} \cdot 13^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1.184895636$ |
$1$ |
|
$4$ |
$99574272$ |
$3.166286$ |
$776703004672/97144749$ |
$[0, -1, 1, -21235244, -33339938500]$ |
\(y^2+y=x^3-x^2-21235244x-33339938500\) |
442.2.0.? |
$[(-2266, 56023)]$ |
422331.l1 |
422331l1 |
422331.l |
422331l |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 7^{4} \cdot 13^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14224896$ |
$2.193329$ |
$776703004672/97144749$ |
$[0, 1, 1, -433372, 97077166]$ |
\(y^2+y=x^3+x^2-433372x+97077166\) |
442.2.0.? |
$[]$ |