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 |
75150.n1 |
75150e1 |
75150.n |
75150e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{8} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4008$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$748800$ |
$1.999533$ |
$-1543893517395/1368064$ |
$0.89991$ |
$4.52737$ |
$[1, -1, 0, -475242, 126316916]$ |
\(y^2+xy=x^3-x^2-475242x+126316916\) |
4008.2.0.? |
$[]$ |
75150.p1 |
75150a1 |
75150.p |
75150a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{2} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4008$ |
$2$ |
$0$ |
$7.530375819$ |
$1$ |
|
$0$ |
$49920$ |
$0.645508$ |
$-1543893517395/1368064$ |
$0.89991$ |
$3.08015$ |
$[1, -1, 0, -2112, -36864]$ |
\(y^2+xy=x^3-x^2-2112x-36864\) |
4008.2.0.? |
$[(2571/5, 107154/5)]$ |
75150.bi1 |
75150ba1 |
75150.bi |
75150ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{2} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4008$ |
$2$ |
$0$ |
$0.421394946$ |
$1$ |
|
$6$ |
$149760$ |
$1.194815$ |
$-1543893517395/1368064$ |
$0.89991$ |
$3.66726$ |
$[1, -1, 1, -19010, 1014337]$ |
\(y^2+xy+y=x^3-x^2-19010x+1014337\) |
4008.2.0.? |
$[(73, 71)]$ |
75150.bk1 |
75150bd1 |
75150.bk |
75150bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 167 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{8} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4008$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$249600$ |
$1.450228$ |
$-1543893517395/1368064$ |
$0.89991$ |
$3.94026$ |
$[1, -1, 1, -52805, -4660803]$ |
\(y^2+xy+y=x^3-x^2-52805x-4660803\) |
4008.2.0.? |
$[]$ |