Family of genus 12 curves with automorphism group $C_{10}$

• Label: 12.10-2.0.2-2-2-2-2-5-10
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_{10}\)
• Signature: \([ 0; 2, 2, 2, 2, 2, 5, 10 ]\)

Family Information

Genus:	$12$
Dimension of the family:	$4$

Cover

Quotient genus:	$0$
Number of branch points:	$7$
Signature:	$[ 0; 2, 2, 2, 2, 2, 5, 10 ]$

Group

Name:	$C_{10}$
Identifier:	$[10,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
12.10-2.0.2-2-2-2-2-5-10.1	2, 2, 2, 2, 2, 3, 10
12.10-2.0.2-2-2-2-2-5-10.2	2, 2, 2, 2, 2, 4, 8
12.10-2.0.2-2-2-2-2-5-10.3	2, 2, 2, 2, 2, 5, 9
12.10-2.0.2-2-2-2-2-5-10.4	2, 2, 2, 2, 2, 6, 7