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 |
51870.bi2 |
51870bg2 |
51870.bi |
51870bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$13832$ |
$48$ |
$0$ |
$0.355070752$ |
$1$ |
|
$18$ |
$131072$ |
$1.144886$ |
$281734042678323481/605361802500$ |
$0.90622$ |
$3.70099$ |
$[1, 0, 1, -13658, 612056]$ |
\(y^2+xy+y=x^3-13658x+612056\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 76.12.0.?, 152.24.0.?, 364.12.0.?, $\ldots$ |
$[(60, 67)]$ |
155610.de2 |
155610bt2 |
155610.de |
155610bt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$41496$ |
$48$ |
$0$ |
$5.109797789$ |
$1$ |
|
$2$ |
$1048576$ |
$1.694193$ |
$281734042678323481/605361802500$ |
$0.90622$ |
$3.91225$ |
$[1, -1, 1, -122918, -16525519]$ |
\(y^2+xy+y=x^3-x^2-122918x-16525519\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 152.12.0.?, 228.12.0.?, 456.24.0.?, $\ldots$ |
$[(6079/2, 453831/2)]$ |
259350.fg2 |
259350fg2 |
259350.fg |
259350fg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$69160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3145728$ |
$1.949606$ |
$281734042678323481/605361802500$ |
$0.90622$ |
$3.99780$ |
$[1, 1, 1, -341438, 76507031]$ |
\(y^2+xy+y=x^3+x^2-341438x+76507031\) |
2.6.0.a.1, 40.12.0-2.a.1.1, 152.12.0.?, 380.12.0.?, 728.12.0.?, $\ldots$ |
$[]$ |
363090.q2 |
363090q2 |
363090.q |
363090q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$13832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6291456$ |
$2.117840$ |
$281734042678323481/605361802500$ |
$0.90622$ |
$4.05043$ |
$[1, 1, 0, -669218, -210604512]$ |
\(y^2+xy=x^3+x^2-669218x-210604512\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 56.12.0-2.a.1.1, 152.12.0.?, 532.12.0.?, $\ldots$ |
$[]$ |
414960.dq2 |
414960dq2 |
414960.dq |
414960dq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$13832$ |
$48$ |
$0$ |
$1.821890130$ |
$1$ |
|
$11$ |
$3145728$ |
$1.838034$ |
$281734042678323481/605361802500$ |
$0.90622$ |
$3.74905$ |
$[0, -1, 0, -218520, -39171600]$ |
\(y^2=x^3-x^2-218520x-39171600\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 76.12.0.?, 152.24.0.?, 364.12.0.?, $\ldots$ |
$[(-270, 270)]$ |