Modular curves in Gassmann class 34.918.64.a
| LMFDB label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 34.918.64.a.1 | 34.918.64.1 | $1^{3}\cdot8^{3}$ | $3$ | $17 \le \gamma \le 42$ | $17 \le \gamma \le 42$ | yes $\quad(D =$ $-4$) |
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Invariants of this Gassmann class
| Level: | $34$ | $\SL_2$-level: | $34$ | Newform level: | $1156$ | ||
| Index: | $918$ | $\PSL_2$-index: | $918$ | ||||
| Genus: | $64 = 1 + \frac{ 918 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 27 }{2}$ | ||||||
| Cusps: | $27$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $28$ |
| Conductor: | $2^{58}\cdot17^{121}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{10}\cdot2^{13}\cdot3^{8}\cdot4$ |
| Newforms: | 17.2.a.a$^{3}$, 34.2.a.a$^{2}$, 68.2.a.a, 289.2.a.a$^{3}$, 289.2.a.b$^{3}$, 289.2.a.d$^{3}$, 578.2.a.a$^{2}$, 578.2.a.b$^{2}$, 578.2.a.c$^{2}$, 578.2.a.d$^{2}$, 578.2.a.e$^{2}$, 578.2.a.h$^{2}$, 1156.2.a.a, 1156.2.a.c, 1156.2.a.d, 1156.2.a.f, 1156.2.a.h |