| 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 |
| 19166.a1 |
19166a6 |
19166.a |
19166a |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 37^{2} \) |
\( 2^{9} \cdot 7^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$18648$ |
$864$ |
$21$ |
$5.634139170$ |
$1$ |
|
$0$ |
$311040$ |
$2.218559$ |
$2251439055699625/25088$ |
$1.06489$ |
$5.78202$ |
$1$ |
$[1, 0, 0, -3738083, -2782083455]$ |
\(y^2+xy=x^3-3738083x-2782083455\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(31366/3, 4350179/3)]$ |
$1$ |
| 19166.a2 |
19166a5 |
19166.a |
19166a |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 37^{2} \) |
\( - 2^{18} \cdot 7 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$18648$ |
$864$ |
$21$ |
$2.817069585$ |
$1$ |
|
$3$ |
$155520$ |
$1.871986$ |
$-548347731625/1835008$ |
$1.02933$ |
$4.93885$ |
$1$ |
$[1, 0, 0, -233443, -43557759]$ |
\(y^2+xy=x^3-233443x-43557759\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(3222, 179097)]$ |
$1$ |
| 19166.a3 |
19166a4 |
19166.a |
19166a |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 37^{2} \) |
\( 2^{3} \cdot 7^{6} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$18648$ |
$864$ |
$21$ |
$1.878046390$ |
$1$ |
|
$6$ |
$103680$ |
$1.669254$ |
$4956477625/941192$ |
$1.00821$ |
$4.46100$ |
$1$ |
$[1, 0, 0, -48628, -3387192]$ |
\(y^2+xy=x^3-48628x-3387192\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[(-166, 426)]$ |
$1$ |
| 19166.a4 |
19166a2 |
19166.a |
19166a |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 37^{2} \) |
\( 2 \cdot 7^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$18648$ |
$864$ |
$21$ |
$5.634139170$ |
$1$ |
|
$0$ |
$34560$ |
$1.119947$ |
$128787625/98$ |
$0.96763$ |
$4.09082$ |
$1$ |
$[1, 0, 0, -14403, 663679]$ |
\(y^2+xy=x^3-14403x+663679\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(-429/2, 8339/2)]$ |
$1$ |
| 19166.a5 |
19166a1 |
19166.a |
19166a |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 37^{2} \) |
\( - 2^{2} \cdot 7 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$18648$ |
$864$ |
$21$ |
$2.817069585$ |
$1$ |
|
$1$ |
$17280$ |
$0.773374$ |
$-15625/28$ |
$1.01712$ |
$3.31940$ |
$1$ |
$[1, 0, 0, -713, 14773]$ |
\(y^2+xy=x^3-713x+14773\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(381/4, 6083/4)]$ |
$1$ |
| 19166.a6 |
19166a3 |
19166.a |
19166a |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 37^{2} \) |
\( - 2^{6} \cdot 7^{3} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$18648$ |
$864$ |
$21$ |
$0.939023195$ |
$1$ |
|
$9$ |
$51840$ |
$1.322680$ |
$9938375/21952$ |
$0.98695$ |
$3.93606$ |
$1$ |
$[1, 0, 0, 6132, -309680]$ |
\(y^2+xy=x^3+6132x-309680\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[(114, 1312)]$ |
$1$ |
