Properties

Label 3.4.0.a
Number of curves $1$
Level $3$
Index $4$
Genus $0$
Cusps $2$
Analytic rank $0$

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Modular curves in Gassmann class 3.4.0.a

LMFDB label Name CP label SZ label RSZB label S label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
3.4.0.a.1 $X_0(3)$ 3B0 3B0-3a 3.4.0.1 3B $1^{2}$ $2$ $1$ $1$ yes $\quad(D =$ $-3,-12,-27$)

Invariants of this Gassmann class

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