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 |
46090.g1 |
46090p2 |
46090.g |
46090p |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 11 \cdot 419 \) |
\( 2 \cdot 5 \cdot 11 \cdot 419^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$1290520$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$9938768$ |
$3.147079$ |
$90984613355465878035683930961/249396782289047639290$ |
$1.00595$ |
$6.20956$ |
$[1, -1, 1, -93701832, -349092134751]$ |
\(y^2+xy+y=x^3-x^2-93701832x-349092134751\) |
7.48.0-7.a.2.2, 184360.2.0.?, 1290520.96.2.? |
$[ ]$ |
230450.q1 |
230450q2 |
230450.q |
230450q |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 11 \cdot 419 \) |
\( 2 \cdot 5^{7} \cdot 11 \cdot 419^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$1290520$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$238530432$ |
$3.951801$ |
$90984613355465878035683930961/249396782289047639290$ |
$1.00595$ |
$6.18225$ |
$[1, -1, 0, -2342545792, -43638859389634]$ |
\(y^2+xy=x^3-x^2-2342545792x-43638859389634\) |
7.24.0.a.2, 35.48.0-7.a.2.1, 184360.2.0.?, 258104.48.0.?, 1290520.96.2.? |
$[ ]$ |
368720.bi1 |
368720bi2 |
368720.bi |
368720bi |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 11 \cdot 419 \) |
\( 2^{13} \cdot 5 \cdot 11 \cdot 419^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$1290520$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$238530432$ |
$3.840229$ |
$90984613355465878035683930961/249396782289047639290$ |
$1.00595$ |
$5.85111$ |
$[0, 0, 0, -1499229307, 22343395853354]$ |
\(y^2=x^3-1499229307x+22343395853354\) |
7.24.0.a.2, 28.48.0-7.a.2.1, 184360.2.0.?, 1290520.96.2.? |
$[ ]$ |
414810.f1 |
414810f2 |
414810.f |
414810f |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 419 \) |
\( 2 \cdot 3^{6} \cdot 5 \cdot 11 \cdot 419^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$3871560$ |
$96$ |
$2$ |
$7.277930976$ |
$1$ |
|
$0$ |
$139142752$ |
$3.696388$ |
$90984613355465878035683930961/249396782289047639290$ |
$1.00595$ |
$5.66439$ |
$[1, -1, 0, -843316485, 9426330954755]$ |
\(y^2+xy=x^3-x^2-843316485x+9426330954755\) |
7.24.0.a.2, 21.48.0-7.a.2.2, 184360.2.0.?, 1290520.48.2.?, 3871560.96.2.? |
$[(-65303/3, 105236158/3)]$ |