Family of genus 3 curves with automorphism group $C_{14}$

• Label: 3.14-2.0.2-7-14
• Genus: \(3\)
• Quotient genus: \(0\)
• Group: \(C_{14}\)
• Signature: \([ 0; 2, 7, 14 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 7, 14 ]$

Group

Name:	$C_{14}$
Identifier:	$[14,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
3.14-2.0.2-7-14.1	2, 3, 14
3.14-2.0.2-7-14.2	2, 4, 11
3.14-2.0.2-7-14.3	2, 5, 13
3.14-2.0.2-7-14.4	2, 6, 10
3.14-2.0.2-7-14.5	2, 7, 12
3.14-2.0.2-7-14.6	2, 8, 9

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

3.14-2.0.2-7-14.1.1

	(1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14)
	(1,2,3,4,5,6,7) (8,9,10,11,12,13,14)
	(1,14,6,12,4,10,2,8,7,13,5,11,3,9)