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.o3 |
22386s1 |
22386.o |
22386s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$89544$ |
$48$ |
$0$ |
$4.237880430$ |
$1$ |
|
$3$ |
$15360$ |
$0.530577$ |
$1030086793846657/25788672$ |
$[1, 1, 1, -2104, -38023]$ |
\(y^2+xy+y=x^3+x^2-2104x-38023\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 312.24.0.?, $\ldots$ |
$[(169, 2029)]$ |
67158.w3 |
67158u1 |
67158.w |
67158u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{9} \cdot 7 \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.079884$ |
$1030086793846657/25788672$ |
$[1, -1, 0, -18936, 1007680]$ |
\(y^2+xy=x^3-x^2-18936x+1007680\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.2, 312.24.0.?, $\ldots$ |
$[]$ |
156702.cx3 |
156702p1 |
156702.cx |
156702p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.503532$ |
$1030086793846657/25788672$ |
$[1, 0, 0, -103097, 12732537]$ |
\(y^2+xy=x^3-103097x+12732537\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 164.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
179088.bo3 |
179088c1 |
179088.bo |
179088c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{20} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$89544$ |
$48$ |
$0$ |
$2.252042885$ |
$1$ |
|
$5$ |
$368640$ |
$1.223724$ |
$1030086793846657/25788672$ |
$[0, 1, 0, -33664, 2366132]$ |
\(y^2=x^3+x^2-33664x+2366132\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 312.24.0.?, $\ldots$ |
$[(107, 24)]$ |
291018.u3 |
291018u1 |
291018.u |
291018u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7 \cdot 13^{7} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$13.15842610$ |
$1$ |
|
$1$ |
$2580480$ |
$1.813051$ |
$1030086793846657/25788672$ |
$[1, 1, 0, -355579, -81758243]$ |
\(y^2+xy=x^3+x^2-355579x-81758243\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[(2031734/11, 2883092983/11)]$ |
470106.s3 |
470106s1 |
470106.s |
470106s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$30.71082386$ |
$1$ |
|
$5$ |
$5898240$ |
$2.052837$ |
$1030086793846657/25788672$ |
$[1, -1, 0, -927873, -343778499]$ |
\(y^2+xy=x^3-x^2-927873x-343778499\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 312.12.0.?, 364.12.0.?, $\ldots$ |
$[(3042, 156519), (10467, 1060884)]$ |