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 |
22386.m1 |
22386i4 |
22386.m |
22386i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{5} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$89544$ |
$48$ |
$0$ |
$9.271538759$ |
$1$ |
|
$0$ |
$69120$ |
$1.315538$ |
$83268941223547539433/3317067936$ |
$[1, 0, 1, -90975, -10569134]$ |
\(y^2+xy+y=x^3-90975x-10569134\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 168.24.0.?, 2132.12.0.?, $\ldots$ |
$[(202172/11, 88199811/11)]$ |
67158.bd1 |
67158bl4 |
67158.bd |
67158bl |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{5} \cdot 3^{10} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1.357885049$ |
$1$ |
|
$6$ |
$552960$ |
$1.864845$ |
$83268941223547539433/3317067936$ |
$[1, -1, 1, -818771, 285366611]$ |
\(y^2+xy+y=x^3-x^2-818771x+285366611\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[(535, 222)]$ |
156702.c1 |
156702cm3 |
156702.c |
156702cm |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{5} \cdot 3^{4} \cdot 7^{10} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$5.183489276$ |
$1$ |
|
$2$ |
$3317760$ |
$2.288494$ |
$83268941223547539433/3317067936$ |
$[1, 1, 0, -4457751, 3620755125]$ |
\(y^2+xy=x^3+x^2-4457751x+3620755125\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[(1491, 16332)]$ |
179088.bc1 |
179088bo3 |
179088.bc |
179088bo |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{17} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$2.008686$ |
$83268941223547539433/3317067936$ |
$[0, -1, 0, -1455592, 676424560]$ |
\(y^2=x^3-x^2-1455592x+676424560\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 168.24.0.?, 2132.12.0.?, $\ldots$ |
$[]$ |
291018.ct1 |
291018ct4 |
291018.ct |
291018ct |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{5} \cdot 3^{4} \cdot 7^{4} \cdot 13^{7} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11612160$ |
$2.598015$ |
$83268941223547539433/3317067936$ |
$[1, 0, 0, -15374694, -23205012156]$ |
\(y^2+xy=x^3-15374694x-23205012156\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 164.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
470106.gg1 |
470106gg4 |
470106.gg |
470106gg |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{5} \cdot 3^{10} \cdot 7^{10} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$26542080$ |
$2.837799$ |
$83268941223547539433/3317067936$ |
$[1, -1, 1, -40119764, -97800508137]$ |
\(y^2+xy+y=x^3-x^2-40119764x-97800508137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 4264.24.0.?, $\ldots$ |
$[]$ |