Properties

Label 88.144.9.bl
Number of curves $1$
Level $88$
Index $144$
Genus $9$
Cusps $8$

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Modular curves in Gassmann class 88.144.9.bl

LMFDB label Name CP label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
88.144.9.bl.1 $X_0(88)$ 88B9 $1^{8}$ $8$ $4 \le \gamma \le 9$ $4 \le \gamma \le 9$ none

Invariants of this Gassmann class

Level: $88$ $\SL_2$-level:$88$Newform level:$1$
Index: $144$ $\PSL_2$-index:$144$
Genus: $9 = 1 + \frac{ 144 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$
Cusps: $8$
Elliptic points: $0$ of order $2$ and $0$ of order $3$