Properties

Label 20.36.1.b
Number of curves $1$
Level $20$
Index $36$
Genus $1$
Cusps $6$
Conductor $2^{4}\cdot5$
Analytic rank $0$

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Modular curves in Gassmann class 20.36.1.b

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
20.36.1.b.1 20D1 20.36.1.3 $1^{2}\cdot2^{2}$ $2$ $2$ $2$ none

Invariants of this Gassmann class

Level: $20$ $\SL_2$-level:$20$Newform level:$80$
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: $2^{4}\cdot5$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 80.2.a.b