Properties

Label 10.36.1.a
Number of curves $1$
Level $10$
Index $36$
Genus $1$
Cusps $6$
Conductor $2^{2}\cdot5$
Analytic rank $0$

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Modular curves in Gassmann class 10.36.1.a

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
10.36.1.a.1 10G1 10.36.1.1 $1^{6}$ $6$ $2$ $2$ none

Invariants of this Gassmann class

Level: $10$ $\SL_2$-level:$10$Newform level:$20$
Index: $36$ $\PSL_2$-index:$36$
Genus: $1 = 1 + \frac{ 36 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 6 }{2}$
Cusps: $6$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
Conductor: $2^{2}\cdot5$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 20.2.a.a