Modular curves in Gassmann class 40.72.1.bf
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 40.72.1.bf.1 | 10K1 | 40.72.1.18 | $1^{2}\cdot2^{3}\cdot4$ | $2$ | $2$ | $2$ | none | 40.72.1.bf.2 | 10K1 | 40.72.1.25 | $1^{2}\cdot2^{3}\cdot4$ | $2$ | $2$ | $2$ | none |
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Invariants of this Gassmann class
| Level: | $40$ | $\SL_2$-level: | $10$ | Newform level: | $1600$ | ||
| Index: | $72$ | $\PSL_2$-index: | $72$ | ||||
| Genus: | $1 = 1 + \frac{ 72 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$ | ||||||
| Cusps: | $12$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $1$ |
| Conductor: | $2^{6}\cdot5^{2}$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 1600.2.a.c |