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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
46410.h4 |
46410i3 |
46410.h |
46410i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{16} \cdot 7^{12} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$2184$ |
$48$ |
$0$ |
$5.953223749$ |
$1$ |
|
$2$ |
$185794560$ |
$4.782799$ |
$-36063852191950372967514090386599849/55613397696702747890625000000000$ |
$[1, 1, 0, -6883079738, 420764955691668]$ |
\(y^2+xy=x^3+x^2-6883079738x+420764955691668\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 52.12.0-4.c.1.1, 104.24.0.?, $\ldots$ |
$[(80873, 19785380)]$ |
139230.en4 |
139230j4 |
139230.en |
139230j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{16} \cdot 7^{12} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$0.880825716$ |
$1$ |
|
$10$ |
$1486356480$ |
$5.332100$ |
$-36063852191950372967514090386599849/55613397696702747890625000000000$ |
$[1, -1, 1, -61947717647, -11360715751392681]$ |
\(y^2+xy+y=x^3-x^2-61947717647x-11360715751392681\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[(461027, 240744486)]$ |
232050.fy4 |
232050fy3 |
232050.fy |
232050fy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{22} \cdot 7^{12} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4459069440$ |
$5.587517$ |
$-36063852191950372967514090386599849/55613397696702747890625000000000$ |
$[1, 0, 0, -172076993463, 52595963615445417]$ |
\(y^2+xy=x^3-172076993463x+52595963615445417\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 104.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
324870.cl4 |
324870cl4 |
324870.cl |
324870cl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{16} \cdot 7^{18} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$6.528442880$ |
$1$ |
|
$4$ |
$8918138880$ |
$5.755753$ |
$-36063852191950372967514090386599849/55613397696702747890625000000000$ |
$[1, 0, 1, -337270907188, -144323391614963662]$ |
\(y^2+xy+y=x^3-337270907188x-144323391614963662\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(731224, 5400830)]$ |
371280.ds4 |
371280ds4 |
371280.ds |
371280ds |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{21} \cdot 3^{4} \cdot 5^{16} \cdot 7^{12} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$4459069440$ |
$5.475945$ |
$-36063852191950372967514090386599849/55613397696702747890625000000000$ |
$[0, 1, 0, -110129275816, -26929177422818380]$ |
\(y^2=x^3+x^2-110129275816x-26929177422818380\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[]$ |