| 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 |
| 22386.bc1 |
22386x4 |
22386.bc |
22386x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$29848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$344064$ |
$2.040569$ |
$5529895044677685547285393/1658533968$ |
$0.99094$ |
$5.68801$ |
$[1, 0, 0, -3684097, -2722034887]$ |
\(y^2+xy=x^3-3684097x-2722034887\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 56.12.0-4.c.1.5, 164.12.0.?, $\ldots$ |
$[]$ |
| 67158.d1 |
67158t4 |
67158.d |
67158t |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2752512$ |
$2.589874$ |
$5529895044677685547285393/1658533968$ |
$0.99094$ |
$5.71885$ |
$[1, -1, 0, -33156873, 73494941949]$ |
\(y^2+xy=x^3-x^2-33156873x+73494941949\) |
2.3.0.a.1, 4.6.0.c.1, 156.12.0.?, 168.12.0.?, 492.12.0.?, $\ldots$ |
$[]$ |
| 156702.bo1 |
156702ba3 |
156702.bo |
156702ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{10} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$29848$ |
$48$ |
$0$ |
$4.426993553$ |
$1$ |
|
$2$ |
$16515072$ |
$3.013523$ |
$5529895044677685547285393/1658533968$ |
$0.99094$ |
$5.73876$ |
$[1, 1, 1, -180520754, 933477445487]$ |
\(y^2+xy+y=x^3+x^2-180520754x+933477445487\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 364.12.0.?, 728.24.0.?, $\ldots$ |
$[(13159, 908201)]$ |
| 179088.y1 |
179088bq3 |
179088.y |
179088bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$29848$ |
$48$ |
$0$ |
$9.512070962$ |
$1$ |
|
$7$ |
$8257536$ |
$2.733715$ |
$5529895044677685547285393/1658533968$ |
$0.99094$ |
$5.39781$ |
$[0, -1, 0, -58945552, 174210232768]$ |
\(y^2=x^3-x^2-58945552x+174210232768\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, 164.12.0.?, $\ldots$ |
$[(4408, 2880), (-2792, 563040)]$ |
| 291018.ba1 |
291018ba4 |
291018.ba |
291018ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{4} \cdot 13^{7} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$29848$ |
$48$ |
$0$ |
$5.519481638$ |
$1$ |
|
$2$ |
$57802752$ |
$3.323044$ |
$5529895044677685547285393/1658533968$ |
$0.99094$ |
$5.75162$ |
$[1, 0, 1, -622612397, -5979688034344]$ |
\(y^2+xy+y=x^3-622612397x-5979688034344\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 728.24.0.?, 1066.6.0.?, 2132.24.0.?, $\ldots$ |
$[(37350, 4763602)]$ |
| 470106.co1 |
470106co4 |
470106.co |
470106co |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{10} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$132120576$ |
$3.562828$ |
$5529895044677685547285393/1658533968$ |
$0.99094$ |
$5.76074$ |
$[1, -1, 0, -1624686786, -25205515714940]$ |
\(y^2+xy=x^3-x^2-1624686786x-25205515714940\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 728.12.0.?, 1066.6.0.?, $\ldots$ |
$[]$ |
