Family of genus 2 curves with automorphism group $C_8$

• Label: 2.8-1.0.2-8-8
• Genus: \(2\)
• Quotient genus: \(0\)
• Group: \(C_8\)
• Signature: \([ 0; 2, 8, 8 ]\)

Family Information

Genus:	$2$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 8, 8 ]$

Group

Name:	$C_8$
Identifier:	$[8,1]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
2.8-1.0.2-8-8.1	2, 5, 6
2.8-1.0.2-8-8.2	2, 7, 8

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

2.8-1.0.2-8-8.1.1

	(1,2) (3,4) (5,6) (7,8)
	(1,5,3,7,2,6,4,8)
	(1,7,4,5,2,8,3,6)