| 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 |
| 86190.u2 |
86190bc1 |
86190.u |
86190bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13^{9} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.452283039$ |
$1$ |
|
$5$ |
$2635776$ |
$2.348236$ |
$2761677827/1248480000$ |
$0.98057$ |
$4.53025$ |
$[1, 0, 1, 64216, -174945418]$ |
\(y^2+xy+y=x^3+64216x-174945418\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(921, 25339)]$ |
| 86190.da2 |
86190db1 |
86190.da |
86190db |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.436367368$ |
$1$ |
|
$9$ |
$202752$ |
$1.065762$ |
$2761677827/1248480000$ |
$0.98057$ |
$3.17604$ |
$[1, 0, 0, 380, -79600]$ |
\(y^2+xy=x^3+380x-79600\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(50, 230)]$ |
| 258570.bh2 |
258570bh1 |
258570.bh |
258570bh |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13^{3} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.678177941$ |
$1$ |
|
$15$ |
$1622016$ |
$1.615067$ |
$2761677827/1248480000$ |
$0.98057$ |
$3.42497$ |
$[1, -1, 0, 3420, 2149200]$ |
\(y^2+xy=x^3-x^2+3420x+2149200\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(88, 1724), (-3, 1464)]$ |
| 258570.ep2 |
258570ep1 |
258570.ep |
258570ep |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21086208$ |
$2.897541$ |
$2761677827/1248480000$ |
$0.98057$ |
$4.65981$ |
$[1, -1, 1, 577948, 4723526279]$ |
\(y^2+xy+y=x^3-x^2+577948x+4723526279\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 430950.s2 |
430950s1 |
430950.s |
430950s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.124727969$ |
$1$ |
|
$5$ |
$4866048$ |
$1.870480$ |
$2761677827/1248480000$ |
$0.98057$ |
$3.52636$ |
$[1, 1, 0, 9500, -9950000]$ |
\(y^2+xy=x^3+x^2+9500x-9950000\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(216, 1388)]$ |
| 430950.gb2 |
430950gb1 |
430950.gb |
430950gb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{10} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$63258624$ |
$3.152954$ |
$2761677827/1248480000$ |
$0.98057$ |
$4.71258$ |
$[1, 1, 1, 1605412, -21868177219]$ |
\(y^2+xy+y=x^3+x^2+1605412x-21868177219\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
