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 |
66066.bi2 |
66066ba1 |
66066.bi |
66066ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$304128$ |
$1.455727$ |
$849278123/52416$ |
$0.92693$ |
$3.79703$ |
$[1, 0, 1, -26260, -1550254]$ |
\(y^2+xy+y=x^3-26260x-1550254\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[ ]$ |
66066.cw2 |
66066cf1 |
66066.cw |
66066cf |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1.177158676$ |
$1$ |
|
$5$ |
$27648$ |
$0.256779$ |
$849278123/52416$ |
$0.92693$ |
$2.50068$ |
$[1, 0, 0, -217, 1145]$ |
\(y^2+xy=x^3-217x+1145\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(14, 23)]$ |
198198.g2 |
198198cx1 |
198198.g |
198198cx |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{8} \cdot 7 \cdot 11^{3} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$5.961792901$ |
$1$ |
|
$11$ |
$221184$ |
$0.806085$ |
$849278123/52416$ |
$0.92693$ |
$2.81587$ |
$[1, -1, 0, -1953, -30915]$ |
\(y^2+xy=x^3-x^2-1953x-30915\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(-21, 33), (51, -12)]$ |
198198.dj2 |
198198i1 |
198198.dj |
198198i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{8} \cdot 7 \cdot 11^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$5.649805400$ |
$1$ |
|
$3$ |
$2433024$ |
$2.005032$ |
$849278123/52416$ |
$0.92693$ |
$3.99545$ |
$[1, -1, 1, -236336, 41856851]$ |
\(y^2+xy+y=x^3-x^2-236336x+41856851\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(2097, 92569)]$ |
462462.n2 |
462462n1 |
462462.n |
462462n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{7} \cdot 11^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14598144$ |
$2.428680$ |
$849278123/52416$ |
$0.92693$ |
$4.12566$ |
$[1, 1, 0, -1286716, 530450320]$ |
\(y^2+xy=x^3+x^2-1286716x+530450320\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[ ]$ |
462462.fz2 |
462462fz1 |
462462.fz |
462462fz |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{7} \cdot 11^{3} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1.618293224$ |
$1$ |
|
$19$ |
$1327104$ |
$1.229734$ |
$849278123/52416$ |
$0.92693$ |
$3.02270$ |
$[1, 1, 1, -10634, -403369]$ |
\(y^2+xy+y=x^3+x^2-10634x-403369\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(-57, 175), (825, 23107)]$ |