Properties

Label 60.96.3.bh
Number of curves $1$
Level $60$
Index $96$
Genus $3$
Cusps $12$
Conductor $2^{11}\cdot3^{3}\cdot5^{4}$
Analytic rank $1$

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Modular curves in Gassmann class 60.96.3.bh

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
60.96.3.bh.1 12K3 60.96.3.57 $1^{4}\cdot4^{2}$ $4$ $2$ $2$ none

Invariants of this Gassmann class

Level: $60$ $\SL_2$-level:$12$Newform level:$1200$
Index: $96$ $\PSL_2$-index:$96$
Genus: $3 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$
Cusps: $12$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $1$
Conductor: $2^{11}\cdot3^{3}\cdot5^{4}$
Simple: no
Squarefree: yes
Decomposition: $1^{3}$
Newforms: 48.2.a.a, 600.2.a.h, 1200.2.a.d