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 |
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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 |