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.d2 |
66066o1 |
66066.d |
66066o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 7 \cdot 11^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1.220231727$ |
$1$ |
|
$7$ |
$184320$ |
$1.231586$ |
$2681158320936467/141732864$ |
$0.95740$ |
$3.84908$ |
$[1, 1, 0, -31836, -2199600]$ |
\(y^2+xy=x^3+x^2-31836x-2199600\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(-103, 58)]$ |
66066.bo2 |
66066bm1 |
66066.bo |
66066bm |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 7 \cdot 11^{9} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2027520$ |
$2.430534$ |
$2681158320936467/141732864$ |
$0.95740$ |
$5.14543$ |
$[1, 1, 1, -3852219, 2908406601]$ |
\(y^2+xy+y=x^3+x^2-3852219x+2908406601\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[ ]$ |
198198.bs2 |
198198ec1 |
198198.bs |
198198ec |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 7 \cdot 11^{9} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$89.90963850$ |
$1$ |
|
$3$ |
$16220160$ |
$2.979839$ |
$2681158320936467/141732864$ |
$0.95740$ |
$5.22240$ |
$[1, -1, 0, -34669971, -78561648203]$ |
\(y^2+xy=x^3-x^2-34669971x-78561648203\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(27911, 4535387), (-276809/9, 897443/9)]$ |
198198.et2 |
198198bj1 |
198198.et |
198198bj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 7 \cdot 11^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$0.979571542$ |
$1$ |
|
$7$ |
$1474560$ |
$1.780893$ |
$2681158320936467/141732864$ |
$0.95740$ |
$4.04282$ |
$[1, -1, 1, -286529, 59102673]$ |
\(y^2+xy+y=x^3-x^2-286529x+59102673\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(347, 996)]$ |
462462.er2 |
462462er1 |
462462.er |
462462er |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{7} \cdot 11^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$7.096431556$ |
$1$ |
|
$1$ |
$8847360$ |
$2.204540$ |
$2681158320936467/141732864$ |
$0.95740$ |
$4.16995$ |
$[1, 0, 1, -1559990, 749782856]$ |
\(y^2+xy+y=x^3-1559990x+749782856\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(48801/8, 797525/8)]$ |
462462.kg2 |
462462kg1 |
462462.kg |
462462kg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{7} \cdot 11^{9} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8008$ |
$12$ |
$0$ |
$4.151585637$ |
$1$ |
|
$3$ |
$97320960$ |
$3.403488$ |
$2681158320936467/141732864$ |
$0.95740$ |
$5.27291$ |
$[1, 0, 0, -188758732, -998149740400]$ |
\(y^2+xy=x^3-188758732x-998149740400\) |
2.3.0.a.1, 88.6.0.?, 728.6.0.?, 2002.6.0.?, 8008.12.0.? |
$[(15982, 251554)]$ |