Properties

Label 60.40.1.l
Number of curves $1$
Level $60$
Index $40$
Genus $1$
Cusps $4$
Conductor $2^{4}\cdot3^{2}\cdot5^{2}$
Analytic rank $1$

Related objects

Downloads

Learn more

Modular curves in Gassmann class 60.40.1.l

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
60.40.1.l.1 10H1 60.40.1.39 $4$ $0$ $2 \le \gamma \le 4$ $2$ none

Invariants of this Gassmann class

Level: $60$ $\SL_2$-level:$10$Newform level:$3600$
Index: $40$ $\PSL_2$-index:$40$
Genus: $1 = 1 + \frac{ 40 }{12} - \frac{ 0 }{4} - \frac{ 4 }{3} - \frac{ 4 }{2}$
Cusps: $4$
Elliptic points: $0$ of order $2$ and $4$ of order $3$
Analytic rank: $1$
Conductor: $2^{4}\cdot3^{2}\cdot5^{2}$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 3600.2.a.be