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 |
46410.bh2 |
46410bh2 |
46410.bh |
46410bh |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{27} \cdot 3 \cdot 5^{2} \cdot 7^{3} \cdot 13^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$37128$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$793152$ |
$1.972633$ |
$221924120841314990279/128956799071027200$ |
$1.07283$ |
$4.35995$ |
$[1, 0, 1, 126132, -1095542]$ |
\(y^2+xy+y=x^3+126132x-1095542\) |
3.8.0-3.a.1.1, 37128.16.0.? |
$[]$ |
139230.cu2 |
139230v2 |
139230.cu |
139230v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{27} \cdot 3^{7} \cdot 5^{2} \cdot 7^{3} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$37128$ |
$16$ |
$0$ |
$0.802475222$ |
$1$ |
|
$12$ |
$6345216$ |
$2.521938$ |
$221924120841314990279/128956799071027200$ |
$1.07283$ |
$4.51208$ |
$[1, -1, 1, 1135192, 29579627]$ |
\(y^2+xy+y=x^3-x^2+1135192x+29579627\) |
3.8.0-3.a.1.2, 37128.16.0.? |
$[(33, 8173)]$ |
232050.eu2 |
232050eu2 |
232050.eu |
232050eu |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{27} \cdot 3 \cdot 5^{8} \cdot 7^{3} \cdot 13^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$185640$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19035648$ |
$2.777351$ |
$221924120841314990279/128956799071027200$ |
$1.07283$ |
$4.57360$ |
$[1, 1, 1, 3153312, -136942719]$ |
\(y^2+xy+y=x^3+x^2+3153312x-136942719\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 37128.8.0.?, 185640.16.0.? |
$[]$ |
324870.q2 |
324870q2 |
324870.q |
324870q |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{27} \cdot 3 \cdot 5^{2} \cdot 7^{9} \cdot 13^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$37128$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38071296$ |
$2.945587$ |
$221924120841314990279/128956799071027200$ |
$1.07283$ |
$4.61142$ |
$[1, 1, 0, 6180492, 381951312]$ |
\(y^2+xy=x^3+x^2+6180492x+381951312\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 5304.8.0.?, 37128.16.0.? |
$[]$ |
371280.bj2 |
371280bj2 |
371280.bj |
371280bj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{39} \cdot 3 \cdot 5^{2} \cdot 7^{3} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$37128$ |
$16$ |
$0$ |
$1.642626224$ |
$1$ |
|
$4$ |
$19035648$ |
$2.665779$ |
$221924120841314990279/128956799071027200$ |
$1.07283$ |
$4.30159$ |
$[0, -1, 0, 2018120, 70114672]$ |
\(y^2=x^3-x^2+2018120x+70114672\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 37128.16.0.? |
$[(1212, 65536)]$ |