Modular curves in Gassmann class 36.72.4.m
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 36.72.4.m.1 | 18C4 | 36.72.4.23 | $1^{2}\cdot2^{2}$ | $2$ | $3$ | $3$ | yes $\quad(D =$ $-12$) |
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Invariants of this Gassmann class
| Level: | $36$ | $\SL_2$-level: | $18$ | Newform level: | $432$ | ||
| Index: | $72$ | $\PSL_2$-index: | $72$ | ||||
| Genus: | $4 = 1 + \frac{ 72 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 6 }{2}$ | ||||||
| Cusps: | $6$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $1$ |
| Conductor: | $2^{10}\cdot3^{12}$ |
| Simple: | no |
| Squarefree: | yes |
| Decomposition: | $1^{4}$ |
| Newforms: | 54.2.a.a, 54.2.a.b, 432.2.a.b, 432.2.a.g |