Modular curves in Gassmann class 30.120.7.h
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 30.120.7.h.1 | 30L7 | 30.120.7.1 | $2^{4}$ | $0$ | $3 \le \gamma \le 6$ | $3 \le \gamma \le 6$ | yes $\quad(D =$ $-3,-12$) |
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Invariants of this Gassmann class
| Level: | $30$ | $\SL_2$-level: | $30$ | Newform level: | $150$ | ||
| Index: | $120$ | $\PSL_2$-index: | $120$ | ||||
| Genus: | $7 = 1 + \frac{ 120 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
| Cusps: | $8$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $0$ |
| Conductor: | $2^{3}\cdot3^{5}\cdot5^{14}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{7}$ |
| Newforms: | 50.2.a.b$^{2}$, 75.2.a.a$^{2}$, 75.2.a.b$^{2}$, 150.2.a.b |