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.n3 |
46410s3 |
46410.n |
46410s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 5^{4} \cdot 7^{12} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$0.978535019$ |
$1$ |
|
$4$ |
$442368$ |
$1.878994$ |
$-3969837635175430201/45883867071315000$ |
$0.95650$ |
$4.26871$ |
$[1, 1, 0, -32987, 10547061]$ |
\(y^2+xy=x^3+x^2-32987x+10547061\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 204.12.0.?, 280.12.0.?, $\ldots$ |
$[(37, 3044)]$ |
139230.dl3 |
139230bh3 |
139230.dl |
139230bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{4} \cdot 7^{12} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1.884747343$ |
$1$ |
|
$4$ |
$3538944$ |
$2.428303$ |
$-3969837635175430201/45883867071315000$ |
$0.95650$ |
$4.42930$ |
$[1, -1, 1, -296888, -285067533]$ |
\(y^2+xy+y=x^3-x^2-296888x-285067533\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.1, 312.12.0.?, 840.12.0.?, $\ldots$ |
$[(1407, 44915)]$ |
232050.fv3 |
232050fv4 |
232050.fv |
232050fv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 5^{10} \cdot 7^{12} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$3.770347443$ |
$4$ |
$2$ |
$2$ |
$10616832$ |
$2.683712$ |
$-3969837635175430201/45883867071315000$ |
$0.95650$ |
$4.49425$ |
$[1, 0, 0, -824688, 1320031992]$ |
\(y^2+xy=x^3-824688x+1320031992\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 520.12.0.?, 1020.12.0.?, $\ldots$ |
$[(62, 35594)]$ |
324870.bn3 |
324870bn3 |
324870.bn |
324870bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 5^{4} \cdot 7^{18} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$11.44133586$ |
$4$ |
$2$ |
$0$ |
$21233664$ |
$2.851952$ |
$-3969837635175430201/45883867071315000$ |
$0.95650$ |
$4.53417$ |
$[1, 0, 1, -1616389, -3622491064]$ |
\(y^2+xy+y=x^3-1616389x-3622491064\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 728.12.0.?, 1428.12.0.?, $\ldots$ |
$[(305197/12, 84103229/12)]$ |
371280.fv3 |
371280fv3 |
371280.fv |
371280fv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{15} \cdot 3 \cdot 5^{4} \cdot 7^{12} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$10616832$ |
$2.572144$ |
$-3969837635175430201/45883867071315000$ |
$0.95650$ |
$4.22514$ |
$[0, 1, 0, -527800, -676067500]$ |
\(y^2=x^3+x^2-527800x-676067500\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 204.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |