Modular curves in Gassmann class 20.60.4.a
LMFDB label | CP label | RSZB label | Cusp orbits | $\Q$-cusps | $\Q$-gonality | $\overline{\Q}$-gonality | CM points | 20.60.4.a.1 | 20A4 | 20.60.4.2 | $1^{2}\cdot2$ | $2$ | $3 \le \gamma \le 4$ | $3 \le \gamma \le 4$ | yes $\quad(D =$ $-4$) |
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Invariants of this Gassmann class
Level: | $20$ | $\SL_2$-level: | $20$ | Newform level: | $400$ | ||
Index: | $60$ | $\PSL_2$-index: | $60$ | ||||
Genus: | $4 = 1 + \frac{ 60 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 4 }{2}$ | ||||||
Cusps: | $4$ | ||||||
Elliptic points: | $0$ of order $2$ and $0$ of order $3$ |
Analytic rank: | $1$ |
Conductor: | $2^{10}\cdot5^{8}$ |
Simple: | no |
Squarefree: | no |
Decomposition: | $1^{4}$ |
Newforms: | 50.2.a.b$^{2}$, 400.2.a.a, 400.2.a.f |