Modular curves in Gassmann class 42.252.16.a
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 42.252.16.a.1 | 42A16 | 42.252.16.1 | $3^{4}$ | $0$ | $4 \le \gamma \le 8$ | $4 \le \gamma \le 8$ | none |
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Invariants of this Gassmann class
| Level: | $42$ | $\SL_2$-level: | $42$ | Newform level: | $294$ | ||
| Index: | $252$ | $\PSL_2$-index: | $252$ | ||||
| Genus: | $16 = 1 + \frac{ 252 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$ | ||||||
| Cusps: | $12$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $4$ |
| Conductor: | $2^{6}\cdot3^{12}\cdot7^{32}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{4}\cdot2^{6}$ |
| Newforms: | 98.2.a.b$^{2}$, 147.2.a.c$^{2}$, 147.2.a.d$^{2}$, 147.2.a.e$^{2}$, 294.2.a.d, 294.2.a.e |