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

• Label: 11.46-2.0.2-23-46.20
• 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:

$2, 22, 26$

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.

11.46-2.0.2-23-46.20.1

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