Properties

Label 38.120.8.e
Number of curves $1$
Level $38$
Index $120$
Genus $8$
Cusps $6$
Conductor $2^{6}\cdot19^{12}$
Analytic rank $2$

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Modular curves in Gassmann class 38.120.8.e

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
38.120.8.e.1 38A8 38.120.8.3 $1^{2}\cdot2^{2}$ $2$ $4 \le \gamma \le 6$ $4 \le \gamma \le 6$ none

Invariants of this Gassmann class

Level: $38$ $\SL_2$-level:$38$Newform level:$1444$
Index: $120$ $\PSL_2$-index:$120$
Genus: $8 = 1 + \frac{ 120 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 6 }{2}$
Cusps: $6$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $2$
Conductor: $2^{6}\cdot19^{12}$
Simple: no
Squarefree: no
Decomposition: $1^{8}$
Newforms: 19.2.a.a$^{2}$, 38.2.a.a, 38.2.a.b, 361.2.a.b, 722.2.a.b, 722.2.a.e, 1444.2.a.a