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 |
100005.a1 |
100005a1 |
100005.a |
100005a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 59 \cdot 113 \) |
\( - 3^{6} \cdot 5^{2} \cdot 59 \cdot 113 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$13334$ |
$2$ |
$0$ |
$0.621984153$ |
$1$ |
|
$12$ |
$53088$ |
$0.333751$ |
$-4594165018624/121506075$ |
$0.79063$ |
$2.53631$ |
$[0, -1, 1, -346, 2652]$ |
\(y^2+y=x^3-x^2-346x+2652\) |
13334.2.0.? |
$[(13, 13), (-14, 67)]$ |
100005.b1 |
100005b1 |
100005.b |
100005b |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 59 \cdot 113 \) |
\( 3^{3} \cdot 5^{5} \cdot 59 \cdot 113 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$200010$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58320$ |
$0.592692$ |
$497998408351744/562528125$ |
$0.85145$ |
$2.93943$ |
$[0, 1, 1, -1651, -26354]$ |
\(y^2+y=x^3+x^2-1651x-26354\) |
200010.2.0.? |
$[]$ |
100005.c1 |
100005d1 |
100005.c |
100005d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 59 \cdot 113 \) |
\( - 3^{4} \cdot 5^{7} \cdot 59^{2} \cdot 113 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2260$ |
$2$ |
$0$ |
$0.618226316$ |
$1$ |
|
$2$ |
$180096$ |
$1.059931$ |
$-160643187047881/2489186953125$ |
$0.87618$ |
$3.12989$ |
$[1, 0, 1, -1133, -77407]$ |
\(y^2+xy+y=x^3-1133x-77407\) |
2260.2.0.? |
$[(99, 835)]$ |
100005.d1 |
100005c1 |
100005.d |
100005c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 59 \cdot 113 \) |
\( 3^{3} \cdot 5 \cdot 59^{5} \cdot 113^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1770$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1539840$ |
$1.830872$ |
$1717659606564845572096/1232397230480685$ |
$0.98247$ |
$4.24697$ |
$[0, 1, 1, -249500, 47855441]$ |
\(y^2+y=x^3+x^2-249500x+47855441\) |
1770.2.0.? |
$[]$ |