| 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 |
| 55506.g1 |
55506e1 |
55506.g |
55506e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{23} \cdot 3^{5} \cdot 11^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4327680$ |
$2.997768$ |
$-11872994862835724607989/436955947638718464$ |
$1.05447$ |
$5.58319$ |
$[1, 1, 0, -13782992, -20317686528]$ |
\(y^2+xy=x^3+x^2-13782992x-20317686528\) |
696.2.0.? |
$[ ]$ |
| 55506.bk1 |
55506bj1 |
55506.bk |
55506bj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{23} \cdot 3^{5} \cdot 11^{8} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.962978119$ |
$1$ |
|
$4$ |
$125502720$ |
$4.681412$ |
$-11872994862835724607989/436955947638718464$ |
$1.05447$ |
$7.43263$ |
$[1, 0, 0, -11591496710, -495388958772636]$ |
\(y^2+xy=x^3-11591496710x-495388958772636\) |
696.2.0.? |
$[(206956, 77160874)]$ |
| 166518.i1 |
166518bn1 |
166518.i |
166518bn |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29^{2} \) |
\( - 2^{23} \cdot 3^{11} \cdot 11^{8} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$36.07185203$ |
$1$ |
|
$0$ |
$1004021760$ |
$5.230721$ |
$-11872994862835724607989/436955947638718464$ |
$1.05447$ |
$7.30172$ |
$[1, -1, 0, -104323470390, 13375501886861172]$ |
\(y^2+xy=x^3-x^2-104323470390x+13375501886861172\) |
696.2.0.? |
$[(-114525183957431176881/24153713, 2286174273538994387729960238792/24153713)]$ |
| 166518.bk1 |
166518h1 |
166518.bk |
166518h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 29^{2} \) |
\( - 2^{23} \cdot 3^{11} \cdot 11^{8} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.098973951$ |
$1$ |
|
$14$ |
$34621440$ |
$3.547073$ |
$-11872994862835724607989/436955947638718464$ |
$1.05447$ |
$5.62127$ |
$[1, -1, 1, -124046933, 548453489325]$ |
\(y^2+xy+y=x^3-x^2-124046933x+548453489325\) |
696.2.0.? |
$[(11855, 856560)]$ |
| 444048.y1 |
444048y1 |
444048.y |
444048y |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{35} \cdot 3^{5} \cdot 11^{8} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$42.92886409$ |
$1$ |
|
$0$ |
$3012065280$ |
$5.374565$ |
$-11872994862835724607989/436955947638718464$ |
$1.05447$ |
$6.88371$ |
$[0, -1, 0, -185463947360, 31704893361448704]$ |
\(y^2=x^3-x^2-185463947360x+31704893361448704\) |
696.2.0.? |
$[(12842037039478231349683920/8228624021, 32257154407916237435838926220287459328/8228624021)]$ |
| 444048.cj1 |
444048cj1 |
444048.cj |
444048cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{35} \cdot 3^{5} \cdot 11^{8} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1.257315302$ |
$1$ |
|
$4$ |
$103864320$ |
$3.690914$ |
$-11872994862835724607989/436955947638718464$ |
$1.05447$ |
$5.33002$ |
$[0, 1, 0, -220527880, 1299890882036]$ |
\(y^2=x^3+x^2-220527880x+1299890882036\) |
696.2.0.? |
$[(7820, 231594)]$ |
