Family of genus 6 curves with automorphism group $C_{26}$

• Label: 6.26-2.0.2-13-26
• Genus: \(6\)
• Quotient genus: \(0\)
• Group: \(C_{26}\)
• Signature: \([ 0; 2, 13, 26 ]\)

Family Information

Genus:	$6$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 13, 26 ]$

Group

Name:	$C_{26}$
Identifier:	$[26,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
6.26-2.0.2-13-26.1	2, 3, 26
6.26-2.0.2-13-26.2	2, 4, 20
6.26-2.0.2-13-26.3	2, 5, 25
6.26-2.0.2-13-26.4	2, 6, 19
6.26-2.0.2-13-26.5	2, 7, 24
6.26-2.0.2-13-26.6	2, 8, 18
6.26-2.0.2-13-26.7	2, 9, 23
6.26-2.0.2-13-26.8	2, 10, 17
6.26-2.0.2-13-26.9	2, 11, 22
6.26-2.0.2-13-26.10	2, 12, 16
6.26-2.0.2-13-26.11	2, 13, 21
6.26-2.0.2-13-26.12	2, 14, 15

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

6.26-2.0.2-13-26.1.1

	(1,14) (2,15) (3,16) (4,17) (5,18) (6,19) (7,20) (8,21) (9,22) (10,23) (11,24) (12,25) (13,26)
	(1,2,3,4,5,6,7,8,9,10,11,12,13) (14,15,16,17,18,19,20,21,22,23,24,25,26)
	(1,26,12,24,10,22,8,20,6,18,4,16,2,14,13,25,11,23,9,21,7,19,5,17,3,15)