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 |
92910.bd3 |
92910bi2 |
92910.bd |
92910bi |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 5 \cdot 19 \cdot 163 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 19^{9} \cdot 163^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.72.0.1 |
3Cs.1.1 |
$1114920$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$10182672$ |
$3.021336$ |
$62730610483865150939136479/37731927035519394651000$ |
$1.04725$ |
$5.19266$ |
$[1, 0, 0, 8277870, 1819757052]$ |
\(y^2+xy=x^3+8277870x+1819757052\) |
3.24.0-3.a.1.1, 9.72.0-9.a.1.1, 371640.48.1.?, 1114920.144.3.? |
$[ ]$ |
278730.d3 |
278730d2 |
278730.d |
278730d |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \cdot 163 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{3} \cdot 19^{9} \cdot 163^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.2 |
3Cs.1.1 |
$1114920$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$2$ |
$81461376$ |
$3.570641$ |
$62730610483865150939136479/37731927035519394651000$ |
$1.04725$ |
$5.26340$ |
$[1, -1, 0, 74500830, -49133440404]$ |
\(y^2+xy=x^3-x^2+74500830x-49133440404\) |
3.24.0-3.a.1.1, 9.72.0-9.a.1.2, 371640.48.1.?, 1114920.144.3.? |
$[ ]$ |
464550.s3 |
464550s2 |
464550.s |
464550s |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 163 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{9} \cdot 19^{9} \cdot 163^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$1114920$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$244384128$ |
$3.826054$ |
$62730610483865150939136479/37731927035519394651000$ |
$1.04725$ |
$5.29224$ |
$[1, 1, 0, 206946750, 227469631500]$ |
\(y^2+xy=x^3+x^2+206946750x+227469631500\) |
3.12.0.a.1, 9.36.0.a.1, 15.24.0-3.a.1.1, 45.72.0-9.a.1.2, 74328.24.0.?, $\ldots$ |
$[ ]$ |