Properties

Label 120.48.0.cg
Number of curves $2$
Level $120$
Index $48$
Genus $0$
Cusps $10$

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Modular curves in Gassmann class 120.48.0.cg

LMFDB label CP label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
120.48.0.cg.1 8O0 $2^{3}\cdot4$ $0$ $1 \le \gamma \le 2$ $1$ none
120.48.0.cg.2 8O0 $2^{3}\cdot4$ $0$ $1 \le \gamma \le 2$ $1$ none

Invariants of this Gassmann class

Level: $120$ $\SL_2$-level:$8$
Index: $48$ $\PSL_2$-index:$48$
Genus: $0 = 1 + \frac{ 48 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 10 }{2}$
Cusps: $10$
Elliptic points: $0$ of order $2$ and $0$ of order $3$