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.b4 |
46410c3 |
46410.b |
46410c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{28} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$688128$ |
$2.169579$ |
$1352279296967264534231/1415615917112986680$ |
$1.00944$ |
$4.52814$ |
$[1, 1, 0, 230382, -38184372]$ |
\(y^2+xy=x^3+x^2+230382x-38184372\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
139230.dv4 |
139230p3 |
139230.dv |
139230p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{34} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$185640$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$5505024$ |
$2.718887$ |
$1352279296967264534231/1415615917112986680$ |
$1.00944$ |
$4.66467$ |
$[1, -1, 1, 2073433, 1033051479]$ |
\(y^2+xy+y=x^3-x^2+2073433x+1033051479\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 18564.12.0.?, $\ldots$ |
$[]$ |
232050.hf4 |
232050hf4 |
232050.hf |
232050hf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{28} \cdot 5^{7} \cdot 7 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$185640$ |
$48$ |
$0$ |
$1.563123800$ |
$4$ |
$2$ |
$6$ |
$16515072$ |
$2.974300$ |
$1352279296967264534231/1415615917112986680$ |
$1.00944$ |
$4.71988$ |
$[1, 0, 0, 5759537, -4784565583]$ |
\(y^2+xy=x^3+5759537x-4784565583\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 30940.12.0.?, $\ldots$ |
$[(2396, 149705)]$ |
324870.cs4 |
324870cs3 |
324870.cs |
324870cs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{28} \cdot 5 \cdot 7^{7} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$2.094262627$ |
$4$ |
$2$ |
$4$ |
$33030144$ |
$3.142536$ |
$1352279296967264534231/1415615917112986680$ |
$1.00944$ |
$4.75382$ |
$[1, 0, 1, 11288692, 13131105698]$ |
\(y^2+xy+y=x^3+11288692x+13131105698\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[(582, 140770)]$ |
371280.eq4 |
371280eq3 |
371280.eq |
371280eq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3^{28} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1.905620075$ |
$4$ |
$2$ |
$5$ |
$16515072$ |
$2.862728$ |
$1352279296967264534231/1415615917112986680$ |
$1.00944$ |
$4.44250$ |
$[0, 1, 0, 3686104, 2451172020]$ |
\(y^2=x^3+x^2+3686104x+2451172020\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(124, 53946)]$ |