Family of genus 10 curves with automorphism group $C_3\wr C_3$

• Label: 10.81-7.0.3-3-9
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_3\wr C_3\)
• Signature: \([ 0; 3, 3, 9 ]\)

Family Information

Genus:	$10$
Dimension of the family:	$0$

Cover

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

Group

Name:	$C_3\wr C_3$
Identifier:	$[81,7]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.81-7.0.3-3-9.1	6, 12, 15
10.81-7.0.3-3-9.2	6, 13, 16
10.81-7.0.3-3-9.3	7, 12, 17
10.81-7.0.3-3-9.4	7, 13, 14
10.81-7.0.3-3-9.5	8, 12, 15
10.81-7.0.3-3-9.6	8, 13, 16
10.81-7.0.3-3-9.7	9, 12, 17
10.81-7.0.3-3-9.8	9, 13, 14
10.81-7.0.3-3-9.9	10, 12, 15
10.81-7.0.3-3-9.10	10, 13, 16
10.81-7.0.3-3-9.11	11, 12, 17
10.81-7.0.3-3-9.12	11, 13, 14