Properties

Label 230.72.1.c
Number of curves $2$
Level $230$
Index $72$
Genus $1$
Cusps $12$

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Modular curves in Gassmann class 230.72.1.c

LMFDB label CP label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
230.72.1.c.1 10K1 $1^{2}\cdot2^{3}\cdot4$ $2$ $2$ $2$ none
230.72.1.c.2 10K1 $1^{2}\cdot2^{3}\cdot4$ $2$ $2$ $2$ none

Invariants of this Gassmann class

Level: $230$ $\SL_2$-level:$10$Newform level:$1$
Index: $72$ $\PSL_2$-index:$72$
Genus: $1 = 1 + \frac{ 72 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$
Cusps: $12$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $None$
Conductor: $?$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: not computed