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.g3 |
46410f2 |
46410.g |
46410f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 13^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12976128$ |
$3.485332$ |
$426646307804307769001905914169/998470877001641316000000$ |
$1.00929$ |
$6.34938$ |
$[1, 1, 0, -156836843, 754401791613]$ |
\(y^2+xy=x^3+x^2-156836843x+754401791613\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 84.24.0.?, 340.12.0.?, $\ldots$ |
$[]$ |
139230.eo3 |
139230i2 |
139230.eo |
139230i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 7^{6} \cdot 13^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$103809024$ |
$4.034637$ |
$426646307804307769001905914169/998470877001641316000000$ |
$1.00929$ |
$6.31697$ |
$[1, -1, 1, -1411531592, -20370259905141]$ |
\(y^2+xy+y=x^3-x^2-1411531592x-20370259905141\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 1020.24.0.?, 2380.24.0.?, $\ldots$ |
$[]$ |
232050.gb3 |
232050gb2 |
232050.gb |
232050gb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{12} \cdot 7^{6} \cdot 13^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$2.730760664$ |
$1$ |
|
$8$ |
$311427072$ |
$4.290047$ |
$426646307804307769001905914169/998470877001641316000000$ |
$1.00929$ |
$6.30386$ |
$[1, 0, 0, -3920921088, 94308065793792]$ |
\(y^2+xy=x^3-3920921088x+94308065793792\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 68.12.0-2.a.1.1, 84.12.0.?, 140.12.0.?, $\ldots$ |
$[(37562, 145994)]$ |
324870.cn3 |
324870cn2 |
324870.cn |
324870cn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7^{12} \cdot 13^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$622854144$ |
$4.458290$ |
$426646307804307769001905914169/998470877001641316000000$ |
$1.00929$ |
$6.29581$ |
$[1, 0, 1, -7685005333, -258782869539232]$ |
\(y^2+xy+y=x^3-7685005333x-258782869539232\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 1020.24.0.?, 2380.24.0.?, $\ldots$ |
$[]$ |
371280.dq3 |
371280dq2 |
371280.dq |
371280dq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{6} \cdot 7^{6} \cdot 13^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$49.43279041$ |
$1$ |
|
$3$ |
$311427072$ |
$4.178482$ |
$426646307804307769001905914169/998470877001641316000000$ |
$1.00929$ |
$5.96844$ |
$[0, 1, 0, -2509389496, -48286733442220]$ |
\(y^2=x^3+x^2-2509389496x-48286733442220\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 84.24.0.?, 340.12.0.?, $\ldots$ |
$[(304778657294037663975796/2233905347, 57132427959503244353384785439368902/2233905347)]$ |