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

• Label: 11.46-2.0.2-23-46.11
• 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:

$2, 13, 41$

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.

11.46-2.0.2-23-46.11.1

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