Modular curves in Gassmann class 30.30.1.c
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 30.30.1.c.1 | 10E1 | 30.30.1.1 | $1\cdot2$ | $1$ | $2$ | $2$ | yes $\quad(D =$ $-4$) |
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Invariants of this Gassmann class
| Level: | $30$ | $\SL_2$-level: | $10$ | Newform level: | $180$ | ||
| Index: | $30$ | $\PSL_2$-index: | $30$ | ||||
| Genus: | $1 = 1 + \frac{ 30 }{12} - \frac{ 4 }{4} - \frac{ 0 }{3} - \frac{ 3 }{2}$ | ||||||
| Cusps: | $3$ | ||||||
| Elliptic points: | $4$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $0$ |
| Conductor: | $2^{2}\cdot3^{2}\cdot5$ |
| Simple: | yes |
| Squarefree: | yes |
| Decomposition: | $1$ |
| Newforms: | 180.2.a.a |