Modular curves in Gassmann class 40.240.16.f
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 40.240.16.f.1 | 40A16 | 40.240.16.2 | $1^{4}\cdot2^{3}$ | $4$ | $5$ | $5$ | none |
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Invariants of this Gassmann class
| Level: | $40$ | $\SL_2$-level: | $40$ | Newform level: | $400$ | ||
| Index: | $240$ | $\PSL_2$-index: | $240$ | ||||
| Genus: | $16 = 1 + \frac{ 240 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 10 }{2}$ | ||||||
| Cusps: | $10$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $1$ |
| Conductor: | $2^{42}\cdot5^{32}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{8}\cdot2^{4}$ |
| Newforms: | 50.2.a.b$^{4}$, 200.2.a.e$^{2}$, 200.2.d.a$^{2}$, 200.2.d.c$^{2}$, 400.2.a.a, 400.2.a.f |