Properties

Label 2.2.0.a
Number of curves $1$
Level $2$
Index $2$
Genus $0$
Cusps $1$
Analytic rank $0$

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Modular curves in Gassmann class 2.2.0.a

LMFDB label Name CP label SZ label RZB label RSZB label S label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
2.2.0.a.1 $X_{\mathrm{ns}}(2)$ 2A0 2A0-2a X2 2.2.0.1 2Cn $1$ $1$ $1$ $1$ yes $\quad(D =$ $-4$)

Invariants of this Gassmann class

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