Modular curves in Gassmann class 42.96.5.a
LMFDB label | Name | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 42.96.5.a.1 | $X_0(42)$ | 42G5 | 42.96.5.1 | $1^{8}$ | $8$ | $3 \le \gamma \le 5$ | $3 \le \gamma \le 5$ | none |
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Invariants of this Gassmann class
Level: | $42$ | $\SL_2$-level: | $42$ | Newform level: | $42$ | ||
Index: | $96$ | $\PSL_2$-index: | $96$ | ||||
Genus: | $5 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$ | ||||||
Cusps: | $8$ | ||||||
Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
Analytic rank: | $0$ |
Conductor: | $2^{3}\cdot3^{3}\cdot7^{5}$ |
Simple: | no |
Squarefree: | no |
Decomposition: | $1^{5}$ |
Newforms: | 14.2.a.a$^{2}$, 21.2.a.a$^{2}$, 42.2.a.a |