Modular curves in Gassmann class 70.288.17.a
| LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 70.288.17.a.1 | 70J17 | 70.288.17.1 | $1^{8}\cdot2^{4}$ | $8$ | $4 \le \gamma \le 8$ | $4 \le \gamma \le 8$ | none | 70.288.17.a.2 | 70J17 | 70.288.17.2 | $1^{8}\cdot2^{4}$ | $8$ | $4 \le \gamma \le 8$ | $4 \le \gamma \le 8$ | none |
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Invariants of this Gassmann class
| Level: | $70$ | $\SL_2$-level: | $70$ | Newform level: | $70$ | ||
| Index: | $288$ | $\PSL_2$-index: | $288$ | ||||
| Genus: | $17 = 1 + \frac{ 288 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 16 }{2}$ | ||||||
| Cusps: | $16$ | ||||||
| Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
| Analytic rank: | $0$ |
| Conductor: | $2^{7}\cdot5^{15}\cdot7^{17}$ |
| Simple: | no |
| Squarefree: | no |
| Decomposition: | $1^{5}\cdot2^{4}\cdot4$ |
| Newforms: | 14.2.a.a$^{2}$, 35.2.a.a$^{2}$, 35.2.a.b$^{2}$, 35.2.b.a$^{2}$, 70.2.a.a, 70.2.c.a |