Properties

Label 40.12.0.p
Number of curves $1$
Level $40$
Index $12$
Genus $0$
Cusps $4$
Analytic rank $0$

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Modular curves in Gassmann class 40.12.0.p

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
40.12.0.p.1 4E0 40.12.0.26 $2^{2}$ $0$ $1 \le \gamma \le 2$ $1$ none

Invariants of this Gassmann class

Level: $40$ $\SL_2$-level:$4$
Index: $12$ $\PSL_2$-index:$12$
Genus: $0 = 1 + \frac{ 12 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 4 }{2}$
Cusps: $4$
Elliptic points: $0$ of order $2$ and $0$ of order $3$