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 |
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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 |