Properties

Label 16.48.0.z
Number of curves $2$
Level $16$
Index $48$
Genus $0$
Cusps $10$
Analytic rank $0$

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Modular curves in Gassmann class 16.48.0.z

LMFDB label CP label SZ label RZB label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
16.48.0.z.1 16H0 16H0-16e X230 16.48.0.102 $1^{2}\cdot2^{4}$ $2$ $1$ $1$ none
16.48.0.z.2 16H0 16H0-16a X236 16.48.0.120 $1^{2}\cdot2^{4}$ $2$ $1$ $1$ none

Invariants of this Gassmann class

Level: $16$ $\SL_2$-level:$16$
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 $3$