Properties

Label 12.48.0.a
Number of curves $2$
Level $12$
Index $48$
Genus $0$
Cusps $10$
Analytic rank $0$

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Modular curves in Gassmann class 12.48.0.a

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
12.48.0.a.1 12I0 12.48.0.20 $1^{4}\cdot2^{3}$ $4$ $1$ $1$ none
12.48.0.a.2 12I0 12.48.0.21 $1^{4}\cdot2^{3}$ $4$ $1$ $1$ none

Invariants of this Gassmann class

Level: $12$ $\SL_2$-level:$12$
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 $3$