| 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 |
| 292410.c1 |
292410c1 |
292410.c |
292410c |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 5 \cdot 19^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$11.10540461$ |
$1$ |
|
$2$ |
$33707520$ |
$3.027145$ |
$-723908897739/104857600$ |
$0.99139$ |
$4.81673$ |
$[1, -1, 0, -11547555, -16885578475]$ |
\(y^2+xy=x^3-x^2-11547555x-16885578475\) |
38.2.0.a.1 |
$[(146765, 56136805)]$ |
| 292410.q1 |
292410q1 |
292410.q |
292410q |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 5 \cdot 19^{2} \) |
\( - 2^{22} \cdot 3^{12} \cdot 5^{2} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5322240$ |
$2.104229$ |
$-723908897739/104857600$ |
$0.99139$ |
$3.93678$ |
$[1, -1, 0, -287889, -66408355]$ |
\(y^2+xy=x^3-x^2-287889x-66408355\) |
38.2.0.a.1 |
$[ ]$ |
| 292410.be1 |
292410be1 |
292410.be |
292410be |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 5 \cdot 19^{2} \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{2} \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.142517713$ |
$1$ |
|
$30$ |
$1774080$ |
$1.554924$ |
$-723908897739/104857600$ |
$0.99139$ |
$3.41305$ |
$[1, -1, 1, -31988, 2470231]$ |
\(y^2+xy+y=x^3-x^2-31988x+2470231\) |
38.2.0.a.1 |
$[(5, 1517), (613, 14285)]$ |
| 292410.bt1 |
292410bt1 |
292410.bt |
292410bt |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 5 \cdot 19^{2} \) |
\( - 2^{22} \cdot 3^{12} \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$2.051117005$ |
$1$ |
|
$4$ |
$101122560$ |
$3.576450$ |
$-723908897739/104857600$ |
$0.99139$ |
$5.34046$ |
$[1, -1, 1, -103927997, 456014546821]$ |
\(y^2+xy+y=x^3-x^2-103927997x+456014546821\) |
38.2.0.a.1 |
$[(-11281, 444616)]$ |
