Properties

Label 312.96.1.cy
Number of curves $2$
Level $312$
Index $96$
Genus $1$
Cusps $16$

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Modular curves in Gassmann class 312.96.1.cy

LMFDB label CP label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
312.96.1.cy.1 8K1 $2^{6}\cdot4$ $0$ $2 \le \gamma \le 96$ $2$ none
312.96.1.cy.2 8K1 $1^{4}\cdot4^{3}$ $4$ $2$ $2$ none

Invariants of this Gassmann class

Level: $312$ $\SL_2$-level:$8$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