Properties

Label 6.12.0.a
Number of curves $1$
Level $6$
Index $12$
Genus $0$
Cusps $4$
Analytic rank $0$

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Modular curves in Gassmann class 6.12.0.a

LMFDB label Name CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
6.12.0.a.1 $X_0(6)$ 6F0 6.12.0.1 $1^{4}$ $4$ $1$ $1$ yes $\quad(D =$ $-3,-12$)

Invariants of this Gassmann class

Level: $6$ $\SL_2$-level:$6$
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 $3$