Properties

Label 12.96.1.d
Number of curves $2$
Level $12$
Index $96$
Genus $1$
Cusps $16$
Conductor $2^{3}\cdot3^{2}$
Analytic rank $0$

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Modular curves in Gassmann class 12.96.1.d

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
12.96.1.d.1 12V1 12.96.1.51 $2^{8}$ $0$ $2$ $2$ none
12.96.1.d.2 12V1 12.96.1.52 $1^{4}\cdot2^{2}\cdot4^{2}$ $4$ $2$ $2$ none

Invariants of this Gassmann class

Level: $12$ $\SL_2$-level:$12$Newform level:$72$
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: $0$
Conductor: $2^{3}\cdot3^{2}$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 72.2.a.a