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 |
55470.g1 |
55470f1 |
55470.g |
55470f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{3} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1061928$ |
$2.288540$ |
$-12932809/546750$ |
$0.95269$ |
$4.64771$ |
$[1, 0, 1, -110979, -122464844]$ |
\(y^2+xy+y=x^3-110979x-122464844\) |
120.2.0.? |
$[]$ |
55470.bb1 |
55470y1 |
55470.bb |
55470y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{3} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24696$ |
$0.407941$ |
$-12932809/546750$ |
$0.95269$ |
$2.58179$ |
$[1, 1, 1, -60, 1515]$ |
\(y^2+xy+y=x^3+x^2-60x+1515\) |
120.2.0.? |
$[]$ |
166410.f1 |
166410cd1 |
166410.f |
166410cd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.592947426$ |
$1$ |
|
$2$ |
$197568$ |
$0.957248$ |
$-12932809/546750$ |
$0.95269$ |
$2.89415$ |
$[1, -1, 0, -540, -41450]$ |
\(y^2+xy=x^3-x^2-540x-41450\) |
120.2.0.? |
$[(77, 569)]$ |
166410.cp1 |
166410d1 |
166410.cp |
166410d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43^{2} \) |
\( - 2 \cdot 3^{13} \cdot 5^{3} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8495424$ |
$2.837849$ |
$-12932809/546750$ |
$0.95269$ |
$4.77128$ |
$[1, -1, 1, -998807, 3306550781]$ |
\(y^2+xy+y=x^3-x^2-998807x+3306550781\) |
120.2.0.? |
$[]$ |
277350.bn1 |
277350bn1 |
277350.bn |
277350bn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{9} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.490486823$ |
$1$ |
|
$4$ |
$592704$ |
$1.212660$ |
$-12932809/546750$ |
$0.95269$ |
$3.02074$ |
$[1, 0, 1, -1501, 192398]$ |
\(y^2+xy+y=x^3-1501x+192398\) |
120.2.0.? |
$[(142, 1616)]$ |
277350.ci1 |
277350ci1 |
277350.ci |
277350ci |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{9} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$25486272$ |
$3.093262$ |
$-12932809/546750$ |
$0.95269$ |
$4.82136$ |
$[1, 1, 1, -2774463, -15308105469]$ |
\(y^2+xy+y=x^3+x^2-2774463x-15308105469\) |
120.2.0.? |
$[]$ |
443760.h1 |
443760h1 |
443760.h |
443760h |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{3} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25486272$ |
$2.981689$ |
$-12932809/546750$ |
$0.95269$ |
$4.54412$ |
$[0, -1, 0, -1775656, 7837750000]$ |
\(y^2=x^3-x^2-1775656x+7837750000\) |
120.2.0.? |
$[]$ |
443760.cx1 |
443760cx1 |
443760.cx |
443760cx |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.396609351$ |
$1$ |
|
$6$ |
$592704$ |
$1.101089$ |
$-12932809/546750$ |
$0.95269$ |
$2.80859$ |
$[0, 1, 0, -960, -98892]$ |
\(y^2=x^3+x^2-960x-98892\) |
120.2.0.? |
$[(66, 360)]$ |