Properties

Label 8.48.1.i
Number of curves $2$
Level $8$
Index $48$
Genus $1$
Cusps $8$
Conductor $2^{5}$
Analytic rank $0$

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Modular curves in Gassmann class 8.48.1.i

LMFDB label CP label RZB label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
8.48.1.i.1 8G1 X272 8.48.1.33 $1^{2}\cdot2^{3}$ $2$ $2$ $2$ none
8.48.1.i.2 8G1 X274 8.48.1.42 $1^{2}\cdot2^{3}$ $2$ $2$ $2$ none

Invariants of this Gassmann class

Level: $8$ $\SL_2$-level:$8$Newform level:$32$
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: $2^{5}$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 32.2.a.a