Modular curves in Gassmann class 40.240.16.j
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 40.240.16.j.1 | 40A16 | 40.240.16.5 | $2^{5}$ | $0$ | $5$ | $5$ | none | 40.240.16.j.2 | 40A16 | 40.240.16.15 | $1^{2}\cdot2^{2}\cdot4$ | $2$ | $5$ | $5$ | none |
|---|
Invariants of this Gassmann class
| Level: | $40$ | $\SL_2$-level: | $40$ | Newform level: | $1600$ | ||
| 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: | $4$ |
| Conductor: | $2^{62}\cdot5^{32}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{8}\cdot2^{4}$ |
| Newforms: | 50.2.a.b$^{3}$, 200.2.a.e, 200.2.d.a, 200.2.d.c, 800.2.d.a, 800.2.d.c, 1600.2.a.a, 1600.2.a.i, 1600.2.a.q, 1600.2.a.y |