Properties

Label 20.60.4.a
Number of curves $1$
Level $20$
Index $60$
Genus $4$
Cusps $4$
Conductor $2^{10}\cdot5^{8}$
Analytic rank $1$

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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 $\quad(D =$ $-4$)

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