| 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 |
Manin constant |
| 27096.d1 |
27096k1 |
27096.d |
27096k |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 1129 \) |
\( 2^{4} \cdot 3^{14} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$5.953467315$ |
$1$ |
|
$2$ |
$79744$ |
$1.402311$ |
$6546296694426725632/5399972001$ |
$0.95534$ |
$4.51625$ |
$[0, -1, 0, -98204, -11812503]$ |
\(y^2=x^3-x^2-98204x-11812503\) |
2258.2.0.? |
$[(364, 733)]$ |
$1$ |
| 54192.bh1 |
54192p1 |
54192.bh |
54192p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 1129 \) |
\( 2^{4} \cdot 3^{14} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$0.734401433$ |
$1$ |
|
$2$ |
$159488$ |
$1.402311$ |
$6546296694426725632/5399972001$ |
$0.95534$ |
$4.22906$ |
$[0, 1, 0, -98204, 11812503]$ |
\(y^2=x^3+x^2-98204x+11812503\) |
2258.2.0.? |
$[(181, 9)]$ |
$1$ |
| 81288.a1 |
81288h1 |
81288.a |
81288h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{20} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$1.355349450$ |
$1$ |
|
$4$ |
$637952$ |
$1.951618$ |
$6546296694426725632/5399972001$ |
$0.95534$ |
$4.66043$ |
$[0, 0, 0, -883839, 319821419]$ |
\(y^2=x^3-883839x+319821419\) |
2258.2.0.? |
$[(-77, 19683)]$ |
$1$ |
| 162576.b1 |
162576t1 |
162576.b |
162576t |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 1129 \) |
\( 2^{4} \cdot 3^{20} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$7.999284292$ |
$1$ |
|
$0$ |
$1275904$ |
$1.951618$ |
$6546296694426725632/5399972001$ |
$0.95534$ |
$4.39121$ |
$[0, 0, 0, -883839, -319821419]$ |
\(y^2=x^3-883839x-319821419\) |
2258.2.0.? |
$[(-138991/16, 56583/16)]$ |
$1$ |
| 216768.b1 |
216768x1 |
216768.b |
216768x |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 1129 \) |
\( 2^{10} \cdot 3^{14} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$2.569333720$ |
$1$ |
|
$0$ |
$1275904$ |
$1.748884$ |
$6546296694426725632/5399972001$ |
$0.95534$ |
$4.09039$ |
$[0, -1, 0, -392817, 94892841]$ |
\(y^2=x^3-x^2-392817x+94892841\) |
2258.2.0.? |
$[(5745/4, 6561/4)]$ |
$1$ |
| 216768.bo1 |
216768bo1 |
216768.bo |
216768bo |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 1129 \) |
\( 2^{10} \cdot 3^{14} \cdot 1129 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2258$ |
$2$ |
$0$ |
$3.330325002$ |
$1$ |
|
$0$ |
$1275904$ |
$1.748884$ |
$6546296694426725632/5399972001$ |
$0.95534$ |
$4.09039$ |
$[0, 1, 0, -392817, -94892841]$ |
\(y^2=x^3+x^2-392817x-94892841\) |
2258.2.0.? |
$[(-5799/4, 27/4)]$ |
$1$ |