| 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 |
Manin constant |
| 165165.j2 |
165165y1 |
165165.j |
165165y |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$0.971799766$ |
$1$ |
|
$7$ |
$184320$ |
$0.907522$ |
$132729045301/290233125$ |
$0.87005$ |
$2.81548$ |
$[1, 1, 1, 1169, -25156]$ |
\(y^2+xy+y=x^3+x^2+1169x-25156\) |
2.3.0.a.1, 286.6.0.?, 924.6.0.?, 1092.6.0.?, 12012.12.0.? |
$[(94, 915)]$ |
$1$ |
| 165165.bp2 |
165165ce1 |
165165.bp |
165165ce |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$9.082203908$ |
$1$ |
|
$3$ |
$2027520$ |
$2.106472$ |
$132729045301/290233125$ |
$0.87005$ |
$4.01296$ |
$[1, 1, 0, 141447, 34189632]$ |
\(y^2+xy=x^3+x^2+141447x+34189632\) |
2.3.0.a.1, 286.6.0.?, 924.6.0.?, 1092.6.0.?, 12012.12.0.? |
$[(228336, 108995532)]$ |
$1$ |
| 495495.bs2 |
495495bs1 |
495495.bs |
495495bs |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 3^{12} \cdot 5^{4} \cdot 7^{2} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$3.404321510$ |
$1$ |
|
$5$ |
$16220160$ |
$2.655777$ |
$132729045301/290233125$ |
$0.87005$ |
$4.17943$ |
$[1, -1, 1, 1273018, -921847044]$ |
\(y^2+xy+y=x^3-x^2+1273018x-921847044\) |
2.3.0.a.1, 286.6.0.?, 924.6.0.?, 1092.6.0.?, 12012.12.0.? |
$[(656, 13644)]$ |
$1$ |
| 495495.dl2 |
495495dl1 |
495495.dl |
495495dl |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( - 3^{12} \cdot 5^{4} \cdot 7^{2} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$1.896594854$ |
$1$ |
|
$3$ |
$1474560$ |
$1.456829$ |
$132729045301/290233125$ |
$0.87005$ |
$3.08228$ |
$[1, -1, 0, 10521, 689728]$ |
\(y^2+xy=x^3-x^2+10521x+689728\) |
2.3.0.a.1, 286.6.0.?, 924.6.0.?, 1092.6.0.?, 12012.12.0.? |
$[(272, 4724)]$ |
$1$ |
