Properties

Label 24.48.1.ir
Number of curves $1$
Level $24$
Index $48$
Genus $1$
Cusps $8$
Conductor $2^{3}\cdot3$
Analytic rank $0$

Related objects

Downloads

Learn more

Modular curves in Gassmann class 24.48.1.ir

LMFDB label Name CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
24.48.1.ir.1 $X_0(24)$ 24G1 24.48.1.65 $1^{8}$ $8$ $2$ $2$ none

Invariants of this Gassmann class

Level: $24$ $\SL_2$-level:$24$Newform level:$24$
Index: $48$ $\PSL_2$-index:$48$
Genus: $1 = 1 + \frac{ 48 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 8 }{2}$
Cusps: $8$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
Conductor: $2^{3}\cdot3$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 24.2.a.a