Gassmann class with LMFDB label 56.1344.93.ez

• Label: 56.1344.93.ez
• Number of curves: $2$
• Level: $56$
• Index: $1344$
• Genus: $93$
• Cusps: $40$
• Conductor: $2^{375}\cdot7^{163}$
• Analytic rank: $12$

Modular curves in Gassmann class 56.1344.93.ez

LMFDB label	RSZB label	Cusp orbits	$\Q$-cusps	$\Q$-gonality	$\overline{\Q}$-gonality	CM points
56.1344.93.ez.1	56.1344.93.16	$2^{5}\cdot6^{5}$	$0$	$14 \le \gamma \le 28$	$14 \le \gamma \le 28$	none
56.1344.93.ez.2	56.1344.93.6	$1^{2}\cdot2^{2}\cdot3^{2}\cdot4\cdot6^{2}\cdot12$	$2$	$14 \le \gamma \le 28$	$14 \le \gamma \le 28$	none

Invariants of this Gassmann class

Level:	$56$		$\SL_2$-level:	$56$		Newform level:	$3136$
Index:	$1344$		$\PSL_2$-index:	$1344$
Genus:	$93 = 1 + \frac{ 1344 }{12} - \frac{ 0 }{4} - \frac{ 0 }{3} - \frac{ 40 }{2}$
Cusps:	$40$
Elliptic points:	$0$ of order $2$ and $0$ of order $3$

Analytic rank:	$12$
Conductor:	$2^{375}\cdot7^{163}$
Simple:	no
Squarefree:	no
Decomposition:	$1^{21}\cdot2^{14}\cdot4^{2}\cdot6^{2}\cdot12^{2}$
Newforms:	14.2.a.a$^{3}$, 56.2.a.a, 56.2.a.b, 56.2.b.a, 56.2.b.b, 98.2.a.b$^{3}$, 196.2.a.b$^{2}$, 196.2.a.c$^{2}$, 224.2.b.a, 224.2.b.b, 392.2.a.c, 392.2.a.f, 392.2.a.g, 392.2.b.e, 392.2.b.g, 448.2.a.a, 448.2.a.c, 448.2.a.d, 448.2.a.e, 448.2.a.g, 448.2.a.h, 1568.2.b.f, 1568.2.b.g, 3136.2.a.b, 3136.2.a.bc, 3136.2.a.bk, 3136.2.a.bm, 3136.2.a.bn, 3136.2.a.bp, 3136.2.a.br, 3136.2.a.bs, 3136.2.a.h, 3136.2.a.j, 3136.2.a.s, 3136.2.a.u