| 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 |
| 1002.a1 |
1002a2 |
1002.a |
1002a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.334669$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.61467$ |
$[1, 1, 0, -860, -10074]$ |
\(y^2+xy=x^3+x^2-860x-10074\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 1002.a2 |
1002a1 |
1002.a |
1002a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 167 \) |
\( - 2^{2} \cdot 3^{8} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$-0.011904$ |
$-14260515625/4382748$ |
$0.95237$ |
$3.44538$ |
$[1, 1, 0, -50, -192]$ |
\(y^2+xy=x^3+x^2-50x-192\) |
2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.? |
$[]$ |
| 1002.b1 |
1002b1 |
1002.b |
1002b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 167 \) |
\( - 2^{23} \cdot 3^{2} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1104$ |
$0.627110$ |
$19785968032823/12608077824$ |
$0.98193$ |
$4.43084$ |
$[1, 1, 0, 564, 1872]$ |
\(y^2+xy=x^3+x^2+564x+1872\) |
1336.2.0.? |
$[]$ |
| 1002.c1 |
1002c1 |
1002.c |
1002c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.108540171$ |
$1$ |
|
$8$ |
$1008$ |
$0.777400$ |
$-3843995587427449/6390046584$ |
$0.97481$ |
$5.19384$ |
$[1, 0, 1, -3264, 71590]$ |
\(y^2+xy+y=x^3-3264x+71590\) |
1336.2.0.? |
$[(32, -3)]$ |
| 1002.d1 |
1002d2 |
1002.d |
1002d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 167 \) |
\( 2^{3} \cdot 3 \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4008$ |
$12$ |
$0$ |
$3.021502052$ |
$1$ |
|
$2$ |
$288$ |
$-0.014852$ |
$213525509833/669336$ |
$0.91066$ |
$3.77539$ |
$[1, 0, 1, -125, -544]$ |
\(y^2+xy+y=x^3-125x-544\) |
2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.? |
$[(14, 15)]$ |
| 1002.d2 |
1002d1 |
1002.d |
1002d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 167 \) |
\( - 2^{6} \cdot 3^{2} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4008$ |
$12$ |
$0$ |
$1.510751026$ |
$1$ |
|
$5$ |
$144$ |
$-0.361426$ |
$-10218313/96192$ |
$0.87168$ |
$2.74807$ |
$[1, 0, 1, -5, -16]$ |
\(y^2+xy+y=x^3-5x-16\) |
2.3.0.a.1, 24.6.0.d.1, 334.6.0.?, 4008.12.0.? |
$[(6, 10)]$ |
| 1002.e1 |
1002e1 |
1002.e |
1002e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 167 \) |
\( - 2^{7} \cdot 3^{4} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.048234294$ |
$1$ |
|
$12$ |
$224$ |
$-0.104501$ |
$-2181825073/1731456$ |
$0.88543$ |
$3.23700$ |
$[1, 0, 0, -27, 81]$ |
\(y^2+xy=x^3-27x+81\) |
1336.2.0.? |
$[(6, 9)]$ |
