One refined passport of genus 11 with automorphism group $C_{46}$

• Label: 11.46-2.0.2-23-46.9
• Genus: \(11\)
• Quotient genus: \(0\)
• Group: \(C_{46}\)
• Signature: \([ 0; 2, 23, 46 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$11$
Quotient genus:	$0$
Group name:	$C_{46}$
Group identifier:	$[46,2]$
Signature:	$[ 0; 2, 23, 46 ]$

Conjugacy classes for this refined passport:

$2, 11, 42$

Jacobian variety group algebra decomposition:

$A_{11}$

Other Data

Hyperelliptic curve(s):	yes
Hyperelliptic involution:	(1,24) (2,25) (3,26) (4,27) (5,28) (6,29) (7,30) (8,31) (9,32) (10,33) (11,34) (12,35) (13,36) (14,37) (15,38) (16,39) (17,40) (18,41) (19,42) (20,43) (21,44) (22,45) (23,46)
Cyclic trigonal curve(s):	no

Equation(s) of curve(s) in this refined passport:

$y^2=x^{23}+1$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.46-2.0.2-23-46.9.1

	(1,24) (2,25) (3,26) (4,27) (5,28) (6,29) (7,30) (8,31) (9,32) (10,33) (11,34) (12,35) (13,36) (14,37) (15,38) (16,39) (17,40) (18,41) (19,42) (20,43) (21,44) (22,45) (23,46)
	(1,10,19,5,14,23,9,18,4,13,22,8,17,3,12,21,7,16,2,11,20,6,15) (24,33,42,28,37,46,32,41,27,36,45,31,40,26,35,44,30,39,25,34,43,29,38)
	(1,38,6,43,11,25,16,30,21,35,3,40,8,45,13,27,18,32,23,37,5,42,10,24,15,29,20,34,2,39,7,44,12,26,17,31,22,36,4,41,9,46,14,28,19,33)