Properties

Label 48.48.1.co
Number of curves $1$
Level $48$
Index $48$
Genus $1$
Cusps $8$
Conductor $2^{6}\cdot3^{2}$
Analytic rank $1$

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Modular curves in Gassmann class 48.48.1.co

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
48.48.1.co.1 16E1 48.48.1.301 $2^{2}\cdot4$ $0$ $2$ $2$ none

Invariants of this Gassmann class

Level: $48$ $\SL_2$-level:$16$Newform level:$576$
Index: $48$ $\PSL_2$-index:$48$
Genus: $1 = 1 + \frac{ 48 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$
Cusps: $8$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $1$
Conductor: $2^{6}\cdot3^{2}$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 576.2.a.c