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 |
338130.c1 |
338130c1 |
338130.c |
338130c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8146944$ |
$2.202900$ |
$-1033364331/532480$ |
$[1, -1, 0, -310440, 91614016]$ |
\(y^2+xy=x^3-x^2-310440x+91614016\) |
26520.2.0.? |
$[]$ |
338130.cc1 |
338130cc1 |
338130.cc |
338130cc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1.960450255$ |
$1$ |
|
$2$ |
$479232$ |
$0.786293$ |
$-1033364331/532480$ |
$[1, -1, 0, -1074, 18900]$ |
\(y^2+xy=x^3-x^2-1074x+18900\) |
26520.2.0.? |
$[(-21, 189)]$ |
338130.df1 |
338130df1 |
338130.df |
338130df |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 13 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1.388499744$ |
$1$ |
|
$2$ |
$1437696$ |
$1.335600$ |
$-1033364331/532480$ |
$[1, -1, 1, -9668, -500633]$ |
\(y^2+xy+y=x^3-x^2-9668x-500633\) |
26520.2.0.? |
$[(217, 2645)]$ |
338130.di1 |
338130di1 |
338130.di |
338130di |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 13 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26520$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24440832$ |
$2.752205$ |
$-1033364331/532480$ |
$[1, -1, 1, -2793962, -2470784471]$ |
\(y^2+xy+y=x^3-x^2-2793962x-2470784471\) |
26520.2.0.? |
$[]$ |