Family of genus 4 curves with automorphism group $C_3\times D_4$

• Label: 4.24-10.0.2-6-12
• Genus: \(4\)
• Quotient genus: \(0\)
• Group: \(C_3\times D_4\)
• Signature: \([ 0; 2, 6, 12 ]\)

Family Information

Genus:	$4$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 6, 12 ]$

Group

Name:	$C_3\times D_4$
Identifier:	$[24,10]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
4.24-10.0.2-6-12.1	3, 12, 15
4.24-10.0.2-6-12.2	3, 13, 14
4.24-10.0.2-6-12.3	4, 10, 15
4.24-10.0.2-6-12.4	4, 11, 14

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

4.24-10.0.2-6-12.1.1

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