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 |
177450.l1 |
177450id1 |
177450.l |
177450id |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 5^{8} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7581600$ |
$2.606941$ |
$-167137945/870912$ |
$0.90562$ |
$4.52014$ |
$[1, 1, 0, -783825, -845152875]$ |
\(y^2+xy=x^3+x^2-783825x-845152875\) |
168.2.0.? |
$[ ]$ |
177450.dh1 |
177450ho1 |
177450.dh |
177450ho |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$116640$ |
$0.519747$ |
$-167137945/870912$ |
$0.90562$ |
$2.44788$ |
$[1, 0, 1, -186, -3092]$ |
\(y^2+xy+y=x^3-186x-3092\) |
168.2.0.? |
$[ ]$ |
177450.hj1 |
177450cr1 |
177450.hj |
177450cr |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 5^{8} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$583200$ |
$1.324467$ |
$-167137945/870912$ |
$0.90562$ |
$3.24684$ |
$[1, 1, 1, -4638, -386469]$ |
\(y^2+xy+y=x^3+x^2-4638x-386469\) |
168.2.0.? |
$[ ]$ |
177450.js1 |
177450z1 |
177450.js |
177450z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1516320$ |
$1.802221$ |
$-167137945/870912$ |
$0.90562$ |
$3.72118$ |
$[1, 0, 0, -31353, -6761223]$ |
\(y^2+xy=x^3-31353x-6761223\) |
168.2.0.? |
$[ ]$ |