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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
303450.w1 |
303450w1 |
303450.w |
303450w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11515392$ |
$2.456921$ |
$77817381935/266827932$ |
$[1, 1, 0, 496930, 299433120]$ |
\(y^2+xy=x^3+x^2+496930x+299433120\) |
14.2.0.a.1 |
$[]$ |
303450.cj1 |
303450cj1 |
303450.cj |
303450cj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.160421577$ |
$1$ |
|
$10$ |
$677376$ |
$1.040316$ |
$77817381935/266827932$ |
$[1, 0, 1, 1719, 61048]$ |
\(y^2+xy+y=x^3+1719x+61048\) |
14.2.0.a.1 |
$[(-19, 156)]$ |
303450.dn1 |
303450dn1 |
303450.dn |
303450dn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$8.777235816$ |
$1$ |
|
$2$ |
$3386880$ |
$1.845034$ |
$77817381935/266827932$ |
$[1, 1, 1, 42987, 7631031]$ |
\(y^2+xy+y=x^3+x^2+42987x+7631031\) |
14.2.0.a.1 |
$[(27379, 4516838)]$ |
303450.hd1 |
303450hd1 |
303450.hd |
303450hd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 7^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57576960$ |
$3.261642$ |
$77817381935/266827932$ |
$[1, 0, 0, 12423237, 37404293517]$ |
\(y^2+xy=x^3+12423237x+37404293517\) |
14.2.0.a.1 |
$[]$ |