Family of genus 5 curves with automorphism group $C_2\times A_4$

• Label: 5.24-13.0.3-6-6
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_2\times A_4\)
• Signature: \([ 0; 3, 6, 6 ]\)

Family Information

Genus:	$5$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 3, 6, 6 ]$

Group

Name:	$C_2\times A_4$
Identifier:	$[24,13]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
5.24-13.0.3-6-6.1	5, 7, 7
5.24-13.0.3-6-6.2	6, 8, 8

Displaying the representative for the unique action up to topological equivalence.

5.24-13.0.3-6-6.1.1

	(1,5,9) (2,8,11) (3,6,12) (4,7,10) (13,17,21) (14,20,23) (15,18,24) (16,19,22)
	(1,19,12,13,7,24) (2,18,10,14,6,22) (3,20,9,15,8,21) (4,17,11,16,5,23)
	(1,18,11,13,6,23) (2,19,9,14,7,21) (3,17,10,15,5,22) (4,20,12,16,8,24)