Properties

Label 228.96.1.o
Number of curves $4$
Level $228$
Index $96$
Genus $1$
Cusps $16$

Related objects

Downloads

Learn more

Modular curves in Gassmann class 228.96.1.o

LMFDB label CP label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
228.96.1.o.1 12V1 $1^{2}\cdot2^{3}\cdot4^{2}$ $2$ $2$ $2$ none
228.96.1.o.2 12V1 $1^{2}\cdot2^{3}\cdot4^{2}$ $2$ $2$ $2$ none
228.96.1.o.3 12V1 $2^{6}\cdot4$ $0$ $2 \le \gamma \le 96$ $2$ none
228.96.1.o.4 12V1 $2^{6}\cdot4$ $0$ $2 \le \gamma \le 96$ $2$ none

Invariants of this Gassmann class

Level: $228$ $\SL_2$-level:$12$Newform level:$1$
Index: $96$ $\PSL_2$-index:$96$
Genus: $1 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 16 }{2}$
Cusps: $16$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $None$
Conductor: $?$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: not computed