Family of genus 2 curves with automorphism group $C_6$

• Label: 2.6-2.0.3-6-6
• Genus: \(2\)
• Quotient genus: \(0\)
• Group: \(C_6\)
• Signature: \([ 0; 3, 6, 6 ]\)

Family Information

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

Cover

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

Group

Name:	$C_6$
Identifier:	$[6,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
2.6-2.0.3-6-6.1	3, 5, 5
2.6-2.0.3-6-6.2	4, 6, 6

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

2.6-2.0.3-6-6.1.1

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