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 |
18745.a1 |
18745a1 |
18745.a |
18745a |
$1$ |
$1$ |
\( 5 \cdot 23 \cdot 163 \) |
\( - 5^{2} \cdot 23^{2} \cdot 163 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$326$ |
$2$ |
$0$ |
$0.309889177$ |
$1$ |
|
$38$ |
$10976$ |
$0.053575$ |
$-346540109824/2155675$ |
$0.77517$ |
$2.70178$ |
$[0, 1, 1, -146, 636]$ |
\(y^2+y=x^3+x^2-146x+636\) |
326.2.0.? |
$[(9, 11), (7, 2), (58/3, 44/3)]$ |
93725.d1 |
93725c1 |
93725.d |
93725c |
$1$ |
$1$ |
\( 5^{2} \cdot 23 \cdot 163 \) |
\( - 5^{8} \cdot 23^{2} \cdot 163 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$326$ |
$2$ |
$0$ |
$4.671641580$ |
$1$ |
|
$0$ |
$263424$ |
$0.858294$ |
$-346540109824/2155675$ |
$0.77517$ |
$3.16546$ |
$[0, -1, 1, -3658, 86843]$ |
\(y^2+y=x^3-x^2-3658x+86843\) |
326.2.0.? |
$[(117/2, 503/2)]$ |
168705.n1 |
168705m1 |
168705.n |
168705m |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 23 \cdot 163 \) |
\( - 3^{6} \cdot 5^{2} \cdot 23^{2} \cdot 163 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$326$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$263424$ |
$0.602880$ |
$-346540109824/2155675$ |
$0.77517$ |
$2.75622$ |
$[0, 0, 1, -1317, -18495]$ |
\(y^2+y=x^3-1317x-18495\) |
326.2.0.? |
$[]$ |
299920.j1 |
299920j1 |
299920.j |
299920j |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 23 \cdot 163 \) |
\( - 2^{12} \cdot 5^{2} \cdot 23^{2} \cdot 163 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$326$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$439040$ |
$0.746721$ |
$-346540109824/2155675$ |
$0.77517$ |
$2.76734$ |
$[0, -1, 0, -2341, -43059]$ |
\(y^2=x^3-x^2-2341x-43059\) |
326.2.0.? |
$[]$ |
431135.a1 |
431135a1 |
431135.a |
431135a |
$1$ |
$1$ |
\( 5 \cdot 23^{2} \cdot 163 \) |
\( - 5^{2} \cdot 23^{8} \cdot 163 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$326$ |
$2$ |
$0$ |
$7.605453428$ |
$1$ |
|
$2$ |
$5795328$ |
$1.621321$ |
$-346540109824/2155675$ |
$0.77517$ |
$3.49887$ |
$[0, 1, 1, -77410, -8360086]$ |
\(y^2+y=x^3+x^2-77410x-8360086\) |
326.2.0.? |
$[(1848, 78505)]$ |