Properties

Label 60.144.7.jz
Number of curves $1$
Level $60$
Index $144$
Genus $7$
Cusps $12$
Conductor $2^{17}\cdot3^{11}\cdot5^{7}$
Analytic rank $1$

Related objects

Downloads

Learn more

Modular curves in Gassmann class 60.144.7.jz

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
60.144.7.jz.1 60P7 60.144.7.20 $1^{4}\cdot2^{4}$ $4$ $3 \le \gamma \le 4$ $3 \le \gamma \le 4$ none

Invariants of this Gassmann class

Level: $60$ $\SL_2$-level:$60$Newform level:$720$
Index: $144$ $\PSL_2$-index:$144$
Genus: $7 = 1 + \frac{ 144 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$
Cusps: $12$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $1$
Conductor: $2^{17}\cdot3^{11}\cdot5^{7}$
Simple: no
Squarefree: no
Decomposition: $1^{7}$
Newforms: 15.2.a.a$^{2}$, 30.2.a.a, 720.2.a.c, 720.2.a.h$^{2}$, 720.2.a.j