Properties

Label 42.96.5.a
Number of curves $1$
Level $42$
Index $96$
Genus $5$
Cusps $8$
Conductor $2^{3}\cdot3^{3}\cdot7^{5}$
Analytic rank $0$

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Modular curves in Gassmann class 42.96.5.a

LMFDB label Name CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
42.96.5.a.1 $X_0(42)$ 42G5 42.96.5.1 $1^{8}$ $8$ $3 \le \gamma \le 5$ $3 \le \gamma \le 5$ none

Invariants of this Gassmann class

Level: $42$ $\SL_2$-level:$42$Newform level:$42$
Index: $96$ $\PSL_2$-index:$96$
Genus: $5 = 1 + \frac{ 96 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$
Cusps: $8$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
Conductor: $2^{3}\cdot3^{3}\cdot7^{5}$
Simple: no
Squarefree: no
Decomposition: $1^{5}$
Newforms: 14.2.a.a$^{2}$, 21.2.a.a$^{2}$, 42.2.a.a