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

• Label: 11.46-2.0.2-23-46.16
• 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:

$2, 18, 28$

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.

11.46-2.0.2-23-46.16.1

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