| 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.o2 |
51870k2 |
51870.o |
51870k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 7^{3} \cdot 13^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26763264$ |
$3.784882$ |
$-3056618305886775595382339397721/151640435599212659823360000$ |
$1.01274$ |
$6.47328$ |
$[1, 1, 0, -302347117, -2108594775779]$ |
\(y^2+xy=x^3+x^2-302347117x-2108594775779\) |
2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.? |
$[]$ |
| 155610.dg2 |
155610bu2 |
155610.dg |
155610bu |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 7^{3} \cdot 13^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$3.451638870$ |
$1$ |
|
$4$ |
$214106112$ |
$4.334183$ |
$-3056618305886775595382339397721/151640435599212659823360000$ |
$1.01274$ |
$6.42979$ |
$[1, -1, 1, -2721124058, 56929337821977]$ |
\(y^2+xy+y=x^3-x^2-2721124058x+56929337821977\) |
2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.? |
$[(-14215, 9637143)]$ |
| 259350.go2 |
259350go2 |
259350.go |
259350go |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{10} \cdot 7^{3} \cdot 13^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1.842329808$ |
$1$ |
|
$4$ |
$642318336$ |
$4.589600$ |
$-3056618305886775595382339397721/151640435599212659823360000$ |
$1.01274$ |
$6.41217$ |
$[1, 0, 0, -7558677938, -263559229616508]$ |
\(y^2+xy=x^3-7558677938x-263559229616508\) |
2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.? |
$[(169512, 57586494)]$ |
| 363090.cn2 |
363090cn2 |
363090.cn |
363090cn |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{4} \cdot 7^{9} \cdot 13^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1.115883192$ |
$1$ |
|
$4$ |
$1284636672$ |
$4.757835$ |
$-3056618305886775595382339397721/151640435599212659823360000$ |
$1.01274$ |
$6.40134$ |
$[1, 0, 1, -14815008759, 723203563065946]$ |
\(y^2+xy+y=x^3-14815008759x+723203563065946\) |
2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.? |
$[(80546, 7203372)]$ |
| 414960.hn2 |
414960hn2 |
414960.hn |
414960hn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{23} \cdot 3^{2} \cdot 5^{4} \cdot 7^{3} \cdot 13^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3192$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$642318336$ |
$4.478027$ |
$-3056618305886775595382339397721/151640435599212659823360000$ |
$1.01274$ |
$6.07570$ |
$[0, 1, 0, -4837553880, 134940390542100]$ |
\(y^2=x^3+x^2-4837553880x+134940390542100\) |
2.3.0.a.1, 56.6.0.b.1, 228.6.0.?, 3192.12.0.? |
$[]$ |
