Properties

Label 10.60.2.c
Number of curves $1$
Level $10$
Index $60$
Genus $2$
Cusps $6$
Conductor $2^{4}\cdot5^{4}$
Analytic rank $0$

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Modular curves in Gassmann class 10.60.2.c

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
10.60.2.c.1 10C2 10.60.2.3 $1^{2}\cdot4$ $2$ $2$ $2$ none

Invariants of this Gassmann class

Level: $10$ $\SL_2$-level:$10$Newform level:$100$
Index: $60$ $\PSL_2$-index:$60$
Genus: $2 = 1 + \frac{ 60 }{12} - \frac{ 4 }{4} - \frac{ 0 }{3} - \frac{ 6 }{2}$
Cusps: $6$
Elliptic points: $4$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
Conductor: $2^{4}\cdot5^{4}$
Simple: yes
Squarefree: yes
Decomposition: $2$
Newforms: 100.2.c.a