Modular curves in Gassmann class 66.144.9.a
| LMFDB label | Name | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 66.144.9.a.1 | $X_0(66)$ | 66A9 | 66.144.9.1 | $1^{8}$ | $8$ | $4 \le \gamma \le 6$ | $4 \le \gamma \le 6$ | none |
|---|
Invariants of this Gassmann class
| Level: | $66$ | $\SL_2$-level: | $66$ | Newform level: | $66$ | ||
| Index: | $144$ | $\PSL_2$-index: | $144$ | ||||
| Genus: | $9 = 1 + \frac{ 144 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
| Cusps: | $8$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $0$ |
| Conductor: | $2^{3}\cdot3^{5}\cdot11^{9}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{9}$ |
| Newforms: | 11.2.a.a$^{4}$, 33.2.a.a$^{2}$, 66.2.a.a, 66.2.a.b, 66.2.a.c |