| 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 |
| 77658.r1 |
77658r2 |
77658.r |
77658r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{9} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1.935917014$ |
$1$ |
|
$2$ |
$8192016$ |
$3.110561$ |
$-8719509765625/8716379112$ |
$1.08609$ |
$5.40756$ |
$[1, 0, 1, -9731326, -19297327048]$ |
\(y^2+xy+y=x^3-9731326x-19297327048\) |
3.8.0-3.a.1.1, 168.16.0.? |
$[(3852, 17488)]$ |
| 77658.y1 |
77658v2 |
77658.y |
77658v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{9} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7224$ |
$16$ |
$0$ |
$4.359483188$ |
$1$ |
|
$2$ |
$190512$ |
$1.229959$ |
$-8719509765625/8716379112$ |
$1.08609$ |
$3.40338$ |
$[1, 1, 1, -5263, 240509]$ |
\(y^2+xy+y=x^3+x^2-5263x+240509\) |
3.4.0.a.1, 129.8.0.?, 168.8.0.?, 7224.16.0.? |
$[(97, 760)]$ |
| 232974.i1 |
232974i2 |
232974.i |
232974i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 7^{9} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7224$ |
$16$ |
$0$ |
$10.07624264$ |
$1$ |
|
$0$ |
$1524096$ |
$1.779266$ |
$-8719509765625/8716379112$ |
$1.08609$ |
$3.63421$ |
$[1, -1, 0, -47367, -6541115]$ |
\(y^2+xy=x^3-x^2-47367x-6541115\) |
3.4.0.a.1, 129.8.0.?, 168.8.0.?, 7224.16.0.? |
$[(57311/10, 12135479/10)]$ |
| 232974.bp1 |
232974bp2 |
232974.bp |
232974bp |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 7^{9} \cdot 43^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$65536128$ |
$3.659866$ |
$-8719509765625/8716379112$ |
$1.08609$ |
$5.46023$ |
$[1, -1, 1, -87581930, 521027830289]$ |
\(y^2+xy+y=x^3-x^2-87581930x+521027830289\) |
3.8.0-3.a.1.2, 168.16.0.? |
$[]$ |
