Modular curves in Gassmann class 56.768.49.nw
| LMFDB label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 56.768.49.nw.1 | 56.768.49.157 | $2^{8}\cdot4^{4}$ | $0$ | $8 \le \gamma \le 16$ | $8 \le \gamma \le 16$ | none | 56.768.49.nw.2 | 56.768.49.158 | $2^{8}\cdot4^{4}$ | $0$ | $8 \le \gamma \le 16$ | $8 \le \gamma \le 16$ | none |
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Invariants of this Gassmann class
| Level: | $56$ | $\SL_2$-level: | $56$ | Newform level: | $3136$ | ||
| Index: | $768$ | $\PSL_2$-index: | $768$ | ||||
| Genus: | $49 = 1 + \frac{ 768 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 32 }{2}$ | ||||||
| Cusps: | $32$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $8$ |
| Conductor: | $2^{196}\cdot7^{75}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{21}\cdot2^{6}\cdot4^{4}$ |
| Newforms: | 14.2.a.a$^{3}$, 56.2.a.a, 56.2.a.b, 56.2.b.a$^{2}$, 56.2.b.b$^{2}$, 98.2.a.a, 392.2.a.b, 392.2.a.d, 392.2.b.b, 392.2.b.c, 448.2.a.a, 448.2.a.c, 448.2.a.d, 448.2.a.e, 448.2.a.g, 448.2.a.h, 784.2.a.b, 784.2.a.e, 784.2.a.i, 1568.2.b.a, 1568.2.b.d, 3136.2.a.bf, 3136.2.a.by, 3136.2.a.f, 3136.2.a.m$^{2}$, 3136.2.a.y |