Family of genus 8 curves with automorphism group $C_{18}$

• Label: 8.18-2.0.9-18-18
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(C_{18}\)
• Signature: \([ 0; 9, 18, 18 ]\)

Family Information

Genus:	$8$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 9, 18, 18 ]$

Group

Name:	$C_{18}$
Identifier:	$[18,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
8.18-2.0.9-18-18.1	7, 13, 15
8.18-2.0.9-18-18.2	7, 17, 17
8.18-2.0.9-18-18.3	8, 14, 16
8.18-2.0.9-18-18.4	8, 18, 18
8.18-2.0.9-18-18.5	9, 13, 17
8.18-2.0.9-18-18.6	9, 15, 15
8.18-2.0.9-18-18.7	10, 14, 18
8.18-2.0.9-18-18.8	10, 16, 16
8.18-2.0.9-18-18.9	11, 13, 13
8.18-2.0.9-18-18.10	11, 15, 17
8.18-2.0.9-18-18.11	12, 14, 14
8.18-2.0.9-18-18.12	12, 16, 18