Properties

Label 56.96.1.n
Number of curves $2$
Level $56$
Index $96$
Genus $1$
Cusps $16$
Conductor $2^{6}\cdot7^{2}$
Analytic rank $1$

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Modular curves in Gassmann class 56.96.1.n

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
56.96.1.n.1 8K1 56.96.1.174 $2^{4}\cdot4^{2}$ $0$ $2$ $2$ none
56.96.1.n.2 8K1 56.96.1.205 $1^{2}\cdot2^{3}\cdot8$ $2$ $2$ $2$ none

Invariants of this Gassmann class

Level: $56$ $\SL_2$-level:$8$Newform level:$3136$
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: $1$
Conductor: $2^{6}\cdot7^{2}$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 3136.2.a.m