| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 112710.b1 |
112710c1 |
112710.b |
112710c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$3.740348510$ |
$1$ |
|
$2$ |
$746496$ |
$1.473900$ |
$-8035466932025641/526500000000$ |
$0.95582$ |
$3.64462$ |
$1$ |
$[1, 1, 0, -27588, -1872432]$ |
\(y^2+xy=x^3+x^2-27588x-1872432\) |
260.2.0.? |
$[(408, 7212)]$ |
$1$ |
| 112710.bo1 |
112710bn1 |
112710.bo |
112710bn |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12690432$ |
$2.890507$ |
$-8035466932025641/526500000000$ |
$0.95582$ |
$5.10597$ |
$1$ |
$[1, 0, 1, -7973083, -9143447194]$ |
\(y^2+xy+y=x^3-7973083x-9143447194\) |
260.2.0.? |
$[ ]$ |
$1$ |
| 338130.dg1 |
338130dg1 |
338130.dg |
338130dg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{9} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$101523456$ |
$3.439812$ |
$-8035466932025641/526500000000$ |
$0.95582$ |
$5.18312$ |
$1$ |
$[1, -1, 1, -71757743, 246873074231]$ |
\(y^2+xy+y=x^3-x^2-71757743x+246873074231\) |
260.2.0.? |
$[ ]$ |
$1$ |
| 338130.dh1 |
338130dh1 |
338130.dh |
338130dh |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{9} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$0.218662242$ |
$1$ |
|
$26$ |
$5971968$ |
$2.023205$ |
$-8035466932025641/526500000000$ |
$0.95582$ |
$3.84787$ |
$1$ |
$[1, -1, 1, -248297, 50307369]$ |
\(y^2+xy+y=x^3-x^2-248297x+50307369\) |
260.2.0.? |
$[(827, 19836), (287, 1476)]$ |
$1$ |
