| 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 |
| 100011.a1 |
100011e1 |
100011.a |
100011e |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 37 \cdot 53 \) |
\( - 3^{7} \cdot 17 \cdot 37^{3} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$200022$ |
$2$ |
$0$ |
$0.215488720$ |
$1$ |
|
$6$ |
$121968$ |
$0.798815$ |
$135353378115584/99811078011$ |
$0.84624$ |
$2.82627$ |
$[0, 1, 1, 1070, 7408]$ |
\(y^2+y=x^3+x^2+1070x+7408\) |
200022.2.0.? |
$[(-4, 55)]$ |
| 100011.b1 |
100011b1 |
100011.b |
100011b |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 37 \cdot 53 \) |
\( - 3^{5} \cdot 17^{3} \cdot 37 \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$200022$ |
$2$ |
$0$ |
$1.215119325$ |
$1$ |
|
$4$ |
$41040$ |
$0.476951$ |
$6549699311/2341157499$ |
$0.84745$ |
$2.52123$ |
$[1, 1, 1, 39, -2310]$ |
\(y^2+xy+y=x^3+x^2+39x-2310\) |
200022.2.0.? |
$[(12, 2)]$ |
| 100011.c1 |
100011a1 |
100011.c |
100011a |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 37 \cdot 53 \) |
\( - 3^{17} \cdot 17 \cdot 37 \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$200022$ |
$2$ |
$0$ |
$5.641553246$ |
$1$ |
|
$2$ |
$766224$ |
$1.769850$ |
$4969107733387776623/12093154029532179$ |
$0.97303$ |
$3.84039$ |
$[1, 1, 1, 35551, 4633994]$ |
\(y^2+xy+y=x^3+x^2+35551x+4633994\) |
200022.2.0.? |
$[(32, 2393)]$ |
| 100011.d1 |
100011d1 |
100011.d |
100011d |
$2$ |
$2$ |
\( 3 \cdot 17 \cdot 37 \cdot 53 \) |
\( 3^{4} \cdot 17 \cdot 37 \cdot 53 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.3 |
2B |
$800088$ |
$48$ |
$0$ |
$2.710379409$ |
$1$ |
|
$3$ |
$45312$ |
$0.284289$ |
$36571225840057/2700297$ |
$0.81688$ |
$2.71260$ |
$[1, 0, 1, -692, 6941]$ |
\(y^2+xy+y=x^3-692x+6941\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 66674.6.0.?, 133348.24.0.?, $\ldots$ |
$[(51, 298)]$ |
| 100011.d2 |
100011d2 |
100011.d |
100011d |
$2$ |
$2$ |
\( 3 \cdot 17 \cdot 37 \cdot 53 \) |
\( - 3^{2} \cdot 17^{2} \cdot 37^{2} \cdot 53^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.5 |
2B |
$800088$ |
$48$ |
$0$ |
$1.355189704$ |
$1$ |
|
$4$ |
$90624$ |
$0.630863$ |
$-29886240312937/10002200121$ |
$0.82224$ |
$2.73471$ |
$[1, 0, 1, -647, 7895]$ |
\(y^2+xy+y=x^3-647x+7895\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 133348.12.0.?, 266696.24.0.?, $\ldots$ |
$[(-21, 121)]$ |
| 100011.e1 |
100011c1 |
100011.e |
100011c |
$1$ |
$1$ |
\( 3 \cdot 17 \cdot 37 \cdot 53 \) |
\( - 3^{7} \cdot 17^{3} \cdot 37^{8} \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$102$ |
$2$ |
$0$ |
$4.521742922$ |
$1$ |
|
$0$ |
$10765440$ |
$3.104042$ |
$81228381874428716689043456/106013477073021185065059$ |
$0.98478$ |
$5.20164$ |
$[0, -1, 1, 9022524, -11690123677]$ |
\(y^2+y=x^3-x^2+9022524x-11690123677\) |
102.2.0.? |
$[(1837021/30, 3331586269/30)]$ |
