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.k2 |
86190k2 |
86190.k |
86190k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{4} \cdot 5^{6} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5031936$ |
$2.651611$ |
$2539391358707/46818000000$ |
$0.96943$ |
$4.84648$ |
$[1, 1, 0, 624452, 1055337808]$ |
\(y^2+xy=x^3+x^2+624452x+1055337808\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[]$ |
86190.bx2 |
86190cg2 |
86190.bx |
86190cg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{4} \cdot 5^{6} \cdot 13^{3} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$0.349537604$ |
$1$ |
|
$34$ |
$387072$ |
$1.369135$ |
$2539391358707/46818000000$ |
$0.96943$ |
$3.49227$ |
$[1, 1, 1, 3695, 481775]$ |
\(y^2+xy+y=x^3+x^2+3695x+481775\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[(43, 828), (-7, 678)]$ |
258570.e2 |
258570e2 |
258570.e |
258570e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{10} \cdot 5^{6} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3096576$ |
$1.918442$ |
$2539391358707/46818000000$ |
$0.96943$ |
$3.71333$ |
$[1, -1, 0, 33255, -12974675]$ |
\(y^2+xy=x^3-x^2+33255x-12974675\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[]$ |
258570.fq2 |
258570fq2 |
258570.fq |
258570fq |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{10} \cdot 5^{6} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40255488$ |
$3.200916$ |
$2539391358707/46818000000$ |
$0.96943$ |
$4.94816$ |
$[1, -1, 1, 5620063, -28488500751]$ |
\(y^2+xy+y=x^3-x^2+5620063x-28488500751\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[]$ |
430950.ek2 |
430950ek2 |
430950.ek |
430950ek |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{4} \cdot 5^{12} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9289728$ |
$2.173855$ |
$2539391358707/46818000000$ |
$0.96943$ |
$3.80336$ |
$[1, 0, 1, 92374, 60037148]$ |
\(y^2+xy+y=x^3+92374x+60037148\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[]$ |
430950.gw2 |
430950gw2 |
430950.gw |
430950gw |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{4} \cdot 5^{12} \cdot 13^{9} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8840$ |
$12$ |
$0$ |
$2.539024558$ |
$1$ |
|
$4$ |
$120766464$ |
$3.456329$ |
$2539391358707/46818000000$ |
$0.96943$ |
$4.98958$ |
$[1, 0, 0, 15611287, 131886003417]$ |
\(y^2+xy=x^3+15611287x+131886003417\) |
2.3.0.a.1, 104.6.0.?, 680.6.0.?, 4420.6.0.?, 8840.12.0.? |
$[(-1338, 330219)]$ |