Family of genus 12 curves with automorphism group $C_{16}$

• Label: 12.16-1.0.2-2-2-16-16
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_{16}\)
• Signature: \([ 0; 2, 2, 2, 16, 16 ]\)

Family Information

Genus:	$12$
Dimension of the family:	$2$

Cover

Quotient genus:	$0$
Number of branch points:	$5$
Signature:	$[ 0; 2, 2, 2, 16, 16 ]$

Group

Name:	$C_{16}$
Identifier:	$[16,1]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
12.16-1.0.2-2-2-16-16.1	2, 2, 2, 9, 12
12.16-1.0.2-2-2-16-16.2	2, 2, 2, 10, 11
12.16-1.0.2-2-2-16-16.3	2, 2, 2, 13, 16
12.16-1.0.2-2-2-16-16.4	2, 2, 2, 14, 15