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 |
40310.p2 |
40310bd1 |
40310.p |
40310bd |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 29 \cdot 139 \) |
\( - 2^{14} \cdot 5^{14} \cdot 29^{7} \cdot 139 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$56434$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$29503488$ |
$3.750435$ |
$-107350761560343751123953328881/239773280695100000000000000$ |
$1.02080$ |
$6.45271$ |
$[1, -1, 1, -99013362, -835939931151]$ |
\(y^2+xy+y=x^3-x^2-99013362x-835939931151\) |
7.48.0-7.a.1.2, 8062.2.0.?, 56434.96.2.? |
$[]$ |
201550.r2 |
201550bk1 |
201550.r |
201550bk |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 29 \cdot 139 \) |
\( - 2^{14} \cdot 5^{20} \cdot 29^{7} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$282170$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$708083712$ |
$4.555153$ |
$-107350761560343751123953328881/239773280695100000000000000$ |
$1.02080$ |
$6.39306$ |
$[1, -1, 0, -2475334042, -104494966727884]$ |
\(y^2+xy=x^3-x^2-2475334042x-104494966727884\) |
7.24.0.a.1, 35.48.0-7.a.1.1, 8062.2.0.?, 56434.48.2.?, 282170.96.2.? |
$[]$ |
322480.cw2 |
322480cw1 |
322480.cw |
322480cw |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 29 \cdot 139 \) |
\( - 2^{26} \cdot 5^{14} \cdot 29^{7} \cdot 139 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$112868$ |
$96$ |
$2$ |
$1.638945407$ |
$1$ |
|
$0$ |
$708083712$ |
$4.443581$ |
$-107350761560343751123953328881/239773280695100000000000000$ |
$1.02080$ |
$6.05060$ |
$[0, 0, 0, -1584213787, 53501739807434]$ |
\(y^2=x^3-1584213787x+53501739807434\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 8062.2.0.?, 56434.48.2.?, 112868.96.2.? |
$[(4883557/3, 10764800000/3)]$ |
362790.j2 |
362790j1 |
362790.j |
362790j |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 29 \cdot 139 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{14} \cdot 29^{7} \cdot 139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$169302$ |
$96$ |
$2$ |
$1$ |
$16$ |
$2$ |
$0$ |
$413048832$ |
$4.299744$ |
$-107350761560343751123953328881/239773280695100000000000000$ |
$1.02080$ |
$5.86010$ |
$[1, -1, 0, -891120255, 22571269261325]$ |
\(y^2+xy=x^3-x^2-891120255x+22571269261325\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 8062.2.0.?, 56434.48.2.?, 169302.96.2.? |
$[]$ |