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 |
22386.t1 |
22386t1 |
22386.t |
22386t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{14} \cdot 13^{5} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9569280$ |
$3.584427$ |
$187536845211756879082380654673/18269088231048308260798464$ |
$1.01982$ |
$6.72948$ |
$[1, 0, 0, -119248877, -457102142511]$ |
\(y^2+xy=x^3-119248877x-457102142511\) |
6396.2.0.? |
$[]$ |
67158.x1 |
67158j1 |
67158.x |
67158j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{14} \cdot 13^{5} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$76554240$ |
$4.133736$ |
$187536845211756879082380654673/18269088231048308260798464$ |
$1.01982$ |
$6.65738$ |
$[1, -1, 0, -1073239893, 12341757847797]$ |
\(y^2+xy=x^3-x^2-1073239893x+12341757847797\) |
6396.2.0.? |
$[]$ |
156702.cg1 |
156702bs1 |
156702.cg |
156702bs |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{20} \cdot 13^{5} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$459325440$ |
$4.557381$ |
$187536845211756879082380654673/18269088231048308260798464$ |
$1.01982$ |
$6.61081$ |
$[1, 1, 1, -5843194974, 156780191686299]$ |
\(y^2+xy+y=x^3+x^2-5843194974x+156780191686299\) |
6396.2.0.? |
$[]$ |
179088.e1 |
179088x1 |
179088.e |
179088x |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{28} \cdot 3^{3} \cdot 7^{14} \cdot 13^{5} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$229662720$ |
$4.277573$ |
$187536845211756879082380654673/18269088231048308260798464$ |
$1.01982$ |
$6.26024$ |
$[0, -1, 0, -1907982032, 29254537120704]$ |
\(y^2=x^3-x^2-1907982032x+29254537120704\) |
6396.2.0.? |
$[]$ |
291018.bq1 |
291018bq1 |
291018.bq |
291018bq |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{14} \cdot 13^{11} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$2.167301610$ |
$1$ |
|
$0$ |
$1607639040$ |
$4.866905$ |
$187536845211756879082380654673/18269088231048308260798464$ |
$1.01982$ |
$6.58076$ |
$[1, 0, 1, -20153060217, -1004233254036452]$ |
\(y^2+xy+y=x^3-20153060217x-1004233254036452\) |
6396.2.0.? |
$[(-998371/4, 207721593/4)]$ |
470106.b1 |
470106b1 |
470106.b |
470106b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{16} \cdot 3^{9} \cdot 7^{20} \cdot 13^{5} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$3.323173232$ |
$1$ |
|
$2$ |
$3674603520$ |
$5.106689$ |
$187536845211756879082380654673/18269088231048308260798464$ |
$1.01982$ |
$6.55944$ |
$[1, -1, 0, -52588754766, -4233117764284844]$ |
\(y^2+xy=x^3-x^2-52588754766x-4233117764284844\) |
6396.2.0.? |
$[(-162580, 4484234)]$ |