Properties

Label 35.1260.88.a
Number of curves $1$
Level $35$
Index $1260$
Genus $88$
Cusps $36$
Conductor $5^{144}\cdot7^{176}$
Analytic rank $17$

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Modular curves in Gassmann class 35.1260.88.a

LMFDB label RSZB label Cusp orbits $\Q$-cusps $\Q$-gonality $\overline{\Q}$-gonality CM points
35.1260.88.a.1 35.1260.88.1 $3^{2}\cdot6\cdot12^{2}$ $0$ $13 \le \gamma \le 21$ $13 \le \gamma \le 21$ none

Invariants of this Gassmann class

Level: $35$ $\SL_2$-level:$35$Newform level:$1225$
Index: $1260$ $\PSL_2$-index:$1260$
Genus: $88 = 1 + \frac{ 1260 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 36 }{2}$
Cusps: $36$
Elliptic points: $0$ of order $2$ and $0$ of order $3$
Analytic rank: $17$
Conductor: $5^{144}\cdot7^{176}$
Simple: no
Squarefree: no
Decomposition: $1^{2}\cdot2^{13}\cdot3^{2}\cdot4^{10}\cdot6\cdot8$
Newforms: 245.2.a.e$^{2}$, 245.2.a.f$^{2}$, 245.2.a.h$^{2}$, 245.2.b.c$^{2}$, 245.2.b.e$^{2}$, 245.2.b.f$^{2}$, 1225.2.a.ba, 1225.2.a.bb, 1225.2.a.bc, 1225.2.a.d, 1225.2.a.f, 1225.2.a.k, 1225.2.a.l, 1225.2.a.p, 1225.2.a.r, 1225.2.a.v, 1225.2.a.x, 1225.2.a.y, 1225.2.b.g, 1225.2.b.i, 1225.2.b.j, 1225.2.b.l, 1225.2.b.n