Properties

Label 10.20.0.a
Number of curves $1$
Level $10$
Index $20$
Genus $0$
Cusps $2$
Analytic rank $0$

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Modular curves in Gassmann class 10.20.0.a

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
10.20.0.a.1 10D0 10.20.0.2 $2$ $0$ $1$ $1$ yes $\quad(D =$ $-3$)

Invariants of this Gassmann class

Level: $10$ $\SL_2$-level:$10$
Index: $20$ $\PSL_2$-index:$20$
Genus: $0 = 1 + \frac{ 20 }{12} - \frac{ 4 }{4} - \frac{ 2 }{3} - \frac{ 2 }{2}$
Cusps: $2$
Elliptic points: $4$ of order $2$ and $2$ of order $3$