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

• Label: 8.18-2.0.2-2-9-9
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(C_{18}\)
• Signature: \([ 0; 2, 2, 9, 9 ]\)

Family Information

Genus:	$8$
Dimension of the family:	$1$

Cover

Quotient genus:	$0$
Number of branch points:	$4$
Signature:	$[ 0; 2, 2, 9, 9 ]$

Group

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

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
8.18-2.0.2-2-9-9.1	2, 2, 7, 12
8.18-2.0.2-2-9-9.2	2, 2, 8, 11
8.18-2.0.2-2-9-9.3	2, 2, 9, 10