Properties

Label 36.162.10.d
Number of curves $1$
Level $36$
Index $162$
Genus $10$
Cusps $9$
Conductor $2^{12}\cdot3^{36}$
Analytic rank $0$

Related objects

Downloads

Learn more

Modular curves in Gassmann class 36.162.10.d

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
36.162.10.d.1 36M10 36.162.10.1 $3^{3}$ $0$ $3 \le \gamma \le 6$ $3 \le \gamma \le 6$ none

Invariants of this Gassmann class

Level: $36$ $\SL_2$-level:$36$Newform level:$324$
Index: $162$ $\PSL_2$-index:$162$
Genus: $10 = 1 + \frac{ 162 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 9 }{2}$
Cusps: $9$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
Conductor: $2^{12}\cdot3^{36}$
Simple: no
Squarefree: no
Decomposition: $1^{10}$
Newforms: 54.2.a.a$^{2}$, 54.2.a.b$^{2}$, 162.2.a.c$^{2}$, 162.2.a.d$^{2}$, 324.2.a.b, 324.2.a.c