| 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.d2 |
51870a3 |
51870.d |
51870a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13^{8} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$4.175801038$ |
$1$ |
|
$8$ |
$245760$ |
$1.533329$ |
$4243415895694547209/351514682293320$ |
$0.92196$ |
$3.95081$ |
$[1, 1, 0, -33728, -2221032]$ |
\(y^2+xy=x^3+x^2-33728x-2221032\) |
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.?, $\ldots$ |
$[(-87, 297), (3949/3, 216227/3)]$ |
| 155610.ek2 |
155610x3 |
155610.ek |
155610x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{10} \cdot 5 \cdot 7 \cdot 13^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$15960$ |
$48$ |
$0$ |
$1.758825274$ |
$1$ |
|
$4$ |
$1966080$ |
$2.082638$ |
$4243415895694547209/351514682293320$ |
$0.92196$ |
$4.13912$ |
$[1, -1, 1, -303557, 59664309]$ |
\(y^2+xy+y=x^3-x^2-303557x+59664309\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 1596.12.0.?, $\ldots$ |
$[(429, 2658)]$ |
| 259350.gs2 |
259350gs4 |
259350.gs |
259350gs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{7} \cdot 7 \cdot 13^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5898240$ |
$2.338047$ |
$4243415895694547209/351514682293320$ |
$0.92196$ |
$4.21537$ |
$[1, 0, 0, -843213, -275942583]$ |
\(y^2+xy=x^3-843213x-275942583\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 2660.12.0.?, $\ldots$ |
$[]$ |
| 363090.dt2 |
363090dt3 |
363090.dt |
363090dt |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{3} \cdot 3^{4} \cdot 5 \cdot 7^{7} \cdot 13^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$10.07369535$ |
$1$ |
|
$0$ |
$11796480$ |
$2.506287$ |
$4243415895694547209/351514682293320$ |
$0.92196$ |
$4.26227$ |
$[1, 0, 1, -1652698, 756855908]$ |
\(y^2+xy+y=x^3-1652698x+756855908\) |
2.3.0.a.1, 4.6.0.c.1, 76.12.0.?, 120.12.0.?, 168.12.0.?, $\ldots$ |
$[(494677/4, 346638125/4)]$ |
| 414960.fn2 |
414960fn3 |
414960.fn |
414960fn |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{15} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 13^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$2.226479$ |
$4243415895694547209/351514682293320$ |
$0.92196$ |
$3.95871$ |
$[0, 1, 0, -539656, 141066740]$ |
\(y^2=x^3+x^2-539656x+141066740\) |
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.?, $\ldots$ |
$[]$ |
