| 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.l1 |
51870m4 |
51870.l |
51870m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{3} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3538944$ |
$2.777157$ |
$53990582156643221755293310201/1924038392640$ |
$1.00258$ |
$6.09392$ |
$[1, 1, 0, -78740487, 268900913589]$ |
\(y^2+xy=x^3+x^2-78740487x+268900913589\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 152.12.0.?, 364.12.0.?, $\ldots$ |
$[]$ |
| 155610.dk1 |
155610bz4 |
155610.dk |
155610bz |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{7} \cdot 5 \cdot 7 \cdot 13^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$7.501922760$ |
$4$ |
$2$ |
$2$ |
$28311552$ |
$3.326462$ |
$53990582156643221755293310201/1924038392640$ |
$1.00258$ |
$6.08529$ |
$[1, -1, 1, -708664388, -7261033331289]$ |
\(y^2+xy+y=x^3-x^2-708664388x-7261033331289\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 456.12.0.?, 1092.12.0.?, $\ldots$ |
$[(71361, 17444661)]$ |
| 259350.gh1 |
259350gh3 |
259350.gh |
259350gh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3 \cdot 5^{7} \cdot 7 \cdot 13^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$1.626473175$ |
$4$ |
$2$ |
$2$ |
$84934656$ |
$3.581875$ |
$53990582156643221755293310201/1924038392640$ |
$1.00258$ |
$6.08179$ |
$[1, 0, 0, -1968512188, 33616551222992]$ |
\(y^2+xy=x^3-1968512188x+33616551222992\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 760.12.0.?, 1820.12.0.?, $\ldots$ |
$[(25672, 2764)]$ |
| 363090.cj1 |
363090cj4 |
363090.cj |
363090cj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{7} \cdot 13^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$13.54956008$ |
$1$ |
|
$0$ |
$169869312$ |
$3.750111$ |
$53990582156643221755293310201/1924038392640$ |
$1.00258$ |
$6.07964$ |
$[1, 0, 1, -3858283889, -92244588212668]$ |
\(y^2+xy+y=x^3-3858283889x-92244588212668\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 420.12.0.?, 1064.12.0.?, $\ldots$ |
$[(544640210/23, 12680602640637/23)]$ |
| 414960.ht1 |
414960ht4 |
414960.ht |
414960ht |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{18} \cdot 3 \cdot 5 \cdot 7 \cdot 13^{3} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$207480$ |
$48$ |
$0$ |
$1$ |
$64$ |
$2$ |
$1$ |
$84934656$ |
$3.470306$ |
$53990582156643221755293310201/1924038392640$ |
$1.00258$ |
$5.75732$ |
$[0, 1, 0, -1259847800, -17212178165292]$ |
\(y^2=x^3+x^2-1259847800x-17212178165292\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 152.12.0.?, 364.12.0.?, $\ldots$ |
$[]$ |
