Properties

Label 60.72.1.ba
Number of curves $2$
Level $60$
Index $72$
Genus $1$
Cusps $12$
Conductor $2^{2}\cdot3^{2}\cdot5$
Analytic rank $0$

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Modular curves in Gassmann class 60.72.1.ba

LMFDB label CP label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
60.72.1.ba.1 20H1 60.72.1.36 $1^{2}\cdot2^{3}\cdot4$ $2$ $2$ $2$ none
60.72.1.ba.2 20H1 60.72.1.29 $1^{2}\cdot2^{3}\cdot4$ $2$ $2$ $2$ none

Invariants of this Gassmann class

Level: $60$ $\SL_2$-level:$20$Newform level:$180$
Index: $72$ $\PSL_2$-index:$72$
Genus: $1 = 1 + \frac{ 72 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 12 }{2}$
Cusps: $12$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $0$
Conductor: $2^{2}\cdot3^{2}\cdot5$
Simple: yes
Squarefree: yes
Decomposition: $1$
Newforms: 180.2.a.a