| 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.bp2 |
51870bn2 |
51870.bp |
51870bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$0.437956844$ |
$1$ |
|
$16$ |
$458752$ |
$1.828501$ |
$1022766924906322301161/2228000482890000$ |
$0.94544$ |
$4.45602$ |
$[1, 0, 1, -209903, 36927506]$ |
\(y^2+xy+y=x^3-209903x+36927506\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.? |
$[(290, 537)]$ |
| 155610.dv2 |
155610bh2 |
155610.dv |
155610bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1.355132123$ |
$1$ |
|
$14$ |
$3670016$ |
$2.377808$ |
$1022766924906322301161/2228000482890000$ |
$0.94544$ |
$4.59791$ |
$[1, -1, 1, -1889123, -997042669]$ |
\(y^2+xy+y=x^3-x^2-1889123x-997042669\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 76.24.0.?, 228.48.0.? |
$[(-779, 1572)]$ |
| 259350.eg2 |
259350eg2 |
259350.eg |
259350eg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 13^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$11010048$ |
$2.633221$ |
$1022766924906322301161/2228000482890000$ |
$0.94544$ |
$4.65536$ |
$[1, 1, 1, -5247563, 4615938281]$ |
\(y^2+xy+y=x^3+x^2-5247563x+4615938281\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
| 363090.l2 |
363090l2 |
363090.l |
363090l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$4.722458361$ |
$1$ |
|
$6$ |
$22020096$ |
$2.801456$ |
$1022766924906322301161/2228000482890000$ |
$0.94544$ |
$4.69070$ |
$[1, 1, 0, -10285223, -12676419867]$ |
\(y^2+xy=x^3+x^2-10285223x-12676419867\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[(-1789, 2348)]$ |
| 414960.da2 |
414960da2 |
414960.da |
414960da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{4} \cdot 7^{4} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$2.361745896$ |
$1$ |
|
$9$ |
$11010048$ |
$2.521648$ |
$1022766924906322301161/2228000482890000$ |
$0.94544$ |
$4.38272$ |
$[0, -1, 0, -3358440, -2363360400]$ |
\(y^2=x^3-x^2-3358440x-2363360400\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 76.24.0.?, 228.48.0.? |
$[(2610, 81510)]$ |
