Modular curves in Gassmann class 20.120.8.f
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 20.120.8.f.1 | 20A8 | 20.120.8.2 | $1^{2}\cdot2^{2}$ | $2$ | $3 \le \gamma \le 5$ | $3 \le \gamma \le 5$ | none |
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Invariants of this Gassmann class
| Level: | $20$ | $\SL_2$-level: | $20$ | Newform level: | $400$ | ||
| Index: | $120$ | $\PSL_2$-index: | $120$ | ||||
| Genus: | $8 = 1 + \frac{ 120 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 6 }{2}$ | ||||||
| Cusps: | $6$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $2$ |
| Conductor: | $2^{22}\cdot5^{16}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{8}$ |
| Newforms: | 50.2.a.b$^{3}$, 200.2.a.e, 400.2.a.a$^{2}$, 400.2.a.f$^{2}$ |