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

• Label: 11.46-2.0.2-23-46.5
• 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:

$2, 7, 44$

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.

11.46-2.0.2-23-46.5.1

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