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

• Label: 9.16-4.0.4-4-4-4
• Genus: \(9\)
• Quotient genus: \(0\)
• Group: \(C_4:C_4\)
• Signature: \([ 0; 4, 4, 4, 4 ]\)

Family Information

Genus:	$9$
Dimension of the family:	$1$

Cover

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

Group

Name:	$C_4:C_4$
Identifier:	$[16,4]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
9.16-4.0.4-4-4-4.1	5, 5, 7, 8
9.16-4.0.4-4-4-4.2	5, 5, 9, 10
9.16-4.0.4-4-4-4.3	5, 6, 7, 7
9.16-4.0.4-4-4-4.4	5, 6, 8, 8
9.16-4.0.4-4-4-4.5	5, 6, 9, 9
9.16-4.0.4-4-4-4.6	5, 6, 10, 10
9.16-4.0.4-4-4-4.7	6, 6, 7, 8
9.16-4.0.4-4-4-4.8	6, 6, 9, 10
9.16-4.0.4-4-4-4.9	7, 7, 9, 9
9.16-4.0.4-4-4-4.10	7, 7, 10, 10
9.16-4.0.4-4-4-4.11	7, 8, 9, 10
9.16-4.0.4-4-4-4.12	8, 8, 9, 9
9.16-4.0.4-4-4-4.13	8, 8, 10, 10