| 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 |
| 51870.bo6 |
51870br1 |
51870.bo |
51870br |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{6} \cdot 3^{18} \cdot 5^{9} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 9.24.0.1 |
2B, 3B.1.1 |
$622440$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$5$ |
$2985984$ |
$2.756557$ |
$2190178745056011934256759/1590893810517375000000$ |
$0.98936$ |
$5.16244$ |
$[1, 0, 1, 2705527, 865487756]$ |
\(y^2+xy+y=x^3+2705527x+865487756\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 9.24.0-9.a.1.2, 18.72.0-18.a.1.1, $\ldots$ |
$[]$ |
| 155610.dx6 |
155610bi1 |
155610.dx |
155610bi |
$6$ |
$18$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{6} \cdot 3^{24} \cdot 5^{9} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.24.0.3 |
2B, 3B.1.2 |
$622440$ |
$864$ |
$21$ |
$1$ |
$9$ |
$3$ |
$1$ |
$23887872$ |
$3.305862$ |
$2190178745056011934256759/1590893810517375000000$ |
$0.98936$ |
$5.23941$ |
$[1, -1, 1, 24349747, -23368169419]$ |
\(y^2+xy+y=x^3-x^2+24349747x-23368169419\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 9.24.0-9.a.1.1, 18.72.0-18.a.1.2, $\ldots$ |
$[]$ |
| 259350.el6 |
259350el1 |
259350.el |
259350el |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{6} \cdot 3^{18} \cdot 5^{15} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$622440$ |
$864$ |
$21$ |
$10.19139419$ |
$1$ |
|
$1$ |
$71663616$ |
$3.561275$ |
$2190178745056011934256759/1590893810517375000000$ |
$0.98936$ |
$5.27058$ |
$[1, 1, 1, 67638187, 108185969531]$ |
\(y^2+xy+y=x^3+x^2+67638187x+108185969531\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, $\ldots$ |
$[(-7024525/79, 86568690968/79)]$ |
| 363090.m6 |
363090m1 |
363090.m |
363090m |
$6$ |
$18$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( - 2^{6} \cdot 3^{18} \cdot 5^{9} \cdot 7^{7} \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$622440$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$143327232$ |
$3.729511$ |
$2190178745056011934256759/1590893810517375000000$ |
$0.98936$ |
$5.28975$ |
$[1, 1, 0, 132570847, -296729729547]$ |
\(y^2+xy=x^3+x^2+132570847x-296729729547\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 18.36.0.a.1, $\ldots$ |
$[]$ |
| 414960.cx6 |
414960cx1 |
414960.cx |
414960cx |
$6$ |
$18$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( - 2^{18} \cdot 3^{18} \cdot 5^{9} \cdot 7 \cdot 13 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 9.12.0.1 |
2B, 3B |
$622440$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$71663616$ |
$3.449703$ |
$2190178745056011934256759/1590893810517375000000$ |
$0.98936$ |
$4.97558$ |
$[0, -1, 0, 43288440, -55391216400]$ |
\(y^2=x^3-x^2+43288440x-55391216400\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 9.12.0.a.1, 12.24.0-6.a.1.3, $\ldots$ |
$[]$ |
