Family of genus 9 curves with automorphism group $C_4:C_8$

• Label: 9.32-12.0.4-8-8
• Genus: \(9\)
• Quotient genus: \(0\)
• Group: \(C_4:C_8\)
• Signature: \([ 0; 4, 8, 8 ]\)

Family Information

Genus:	$9$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 4, 8, 8 ]$

Group

Name:	$C_4:C_8$
Identifier:	$[32,12]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
9.32-12.0.4-8-8.1	9, 13, 20
9.32-12.0.4-8-8.2	9, 14, 19
9.32-12.0.4-8-8.3	9, 15, 18
9.32-12.0.4-8-8.4	9, 16, 17
9.32-12.0.4-8-8.5	10, 13, 18
9.32-12.0.4-8-8.6	10, 14, 17
9.32-12.0.4-8-8.7	10, 15, 20
9.32-12.0.4-8-8.8	10, 16, 19
9.32-12.0.4-8-8.9	11, 13, 19
9.32-12.0.4-8-8.10	11, 14, 18
9.32-12.0.4-8-8.11	11, 15, 17
9.32-12.0.4-8-8.12	11, 16, 20
9.32-12.0.4-8-8.13	12, 13, 17
9.32-12.0.4-8-8.14	12, 14, 20
9.32-12.0.4-8-8.15	12, 15, 19
9.32-12.0.4-8-8.16	12, 16, 18