Family of genus 3 curves with automorphism group $C_{12}$

• Label: 3.12-2.0.3-4-12
• Genus: \(3\)
• Quotient genus: \(0\)
• Group: \(C_{12}\)
• Signature: \([ 0; 3, 4, 12 ]\)

Family Information

Genus:	$3$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 3, 4, 12 ]$

Group

Name:	$C_{12}$
Identifier:	$[12,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
3.12-2.0.3-4-12.1	3, 5, 12
3.12-2.0.3-4-12.2	3, 6, 10
3.12-2.0.3-4-12.3	4, 5, 11
3.12-2.0.3-4-12.4	4, 6, 9

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

3.12-2.0.3-4-12.1.1

	(1,3,5) (2,4,6) (7,9,11) (8,10,12)
	(1,7,2,8) (3,9,4,10) (5,11,6,12)
	(1,12,4,7,5,10,2,11,3,8,6,9)