Gassmann class with LMFDB label 56.2688.185.pe

• Label: 56.2688.185.pe
• Number of curves: $2$
• Level: $56$
• Index: $2688$
• Genus: $185$
• Cusps: $80$
• Conductor: $2^{745}\cdot7^{324}$
• Analytic rank: $25$

Modular curves in Gassmann class 56.2688.185.pe

LMFDB label	RSZB label	Cusp orbits	$\Q$-cusps	$\Q$-gonality	$\overline{\Q}$-gonality	CM points
56.2688.185.pe.1	56.2688.185.455	$2^{2}\cdot3^{4}\cdot4^{2}\cdot6^{4}\cdot8\cdot12^{2}$	$0$	$27 \le \gamma \le 56$	$27 \le \gamma \le 56$	none
56.2688.185.pe.2	56.2688.185.458	$4^{5}\cdot6^{10}$	$0$	$27 \le \gamma \le 56$	$27 \le \gamma \le 56$	none

Invariants of this Gassmann class

Level:	$56$		$\SL_2$-level:	$56$		Newform level:	$3136$
Index:	$2688$		$\PSL_2$-index:	$2688$
Genus:	$185 = 1 + \frac{ 2688 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 80 }{2}$
Cusps:	$80$
Elliptic points:	$0$ of order $2$ and $0$ of order $3$

Analytic rank:	$25$
Conductor:	$2^{745}\cdot7^{324}$
Simple:	no
Squarefree:	no
Decomposition:	$1^{59}\cdot2^{23}\cdot4^{8}\cdot6^{4}\cdot12^{2}$
Newforms:	14.2.a.a$^{6}$, 49.2.a.a$^{4}$, 56.2.a.a$^{2}$, 56.2.a.b$^{2}$, 56.2.b.a$^{2}$, 56.2.b.b$^{2}$, 98.2.a.a$^{3}$, 98.2.a.b$^{3}$, 196.2.a.b$^{4}$, 196.2.a.c$^{2}$, 224.2.b.a$^{2}$, 224.2.b.b$^{2}$, 392.2.a.b, 392.2.a.c$^{2}$, 392.2.a.d, 392.2.a.f$^{2}$, 392.2.a.g, 392.2.a.h, 392.2.b.a, 392.2.b.b, 392.2.b.c, 392.2.b.d, 392.2.b.e$^{2}$, 392.2.b.g, 448.2.a.a$^{2}$, 448.2.a.c$^{2}$, 448.2.a.d$^{2}$, 448.2.a.e$^{2}$, 448.2.a.g$^{2}$, 448.2.a.h$^{2}$, 1568.2.b.a, 1568.2.b.b, 1568.2.b.c, 1568.2.b.d, 1568.2.b.f$^{2}$, 1568.2.b.g, 3136.2.a.b$^{2}$, 3136.2.a.bc$^{2}$, 3136.2.a.bk, 3136.2.a.bm, 3136.2.a.bn, 3136.2.a.bp, 3136.2.a.bq, 3136.2.a.br, 3136.2.a.bs, 3136.2.a.bt, 3136.2.a.c, 3136.2.a.e, 3136.2.a.h$^{2}$, 3136.2.a.j$^{2}$, 3136.2.a.n, 3136.2.a.o, 3136.2.a.p, 3136.2.a.q, 3136.2.a.s$^{2}$, 3136.2.a.u$^{2}$, 3136.2.a.w, 3136.2.a.z