Family of genus 8 curves with automorphism group $C_9:C_4$

• Label: 8.36-1.0.4-4-9
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(C_9:C_4\)
• Signature: \([ 0; 4, 4, 9 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 4, 4, 9 ]$

Group

Name:	$C_9:C_4$
Identifier:	$[36,1]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
8.36-1.0.4-4-9.1	4, 5, 7
8.36-1.0.4-4-9.2	4, 5, 8
8.36-1.0.4-4-9.3	4, 5, 9