Family of genus 15 curves with automorphism group $D_{12}:C_4$

• Label: 15.96-16.0.2-8-12
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(D_{12}:C_4\)
• Signature: \([ 0; 2, 8, 12 ]\)

Family Information

Genus:	$15$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 8, 12 ]$

Group

Name:	$D_{12}:C_4$
Identifier:	$[96,16]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
15.96-16.0.2-8-12.1	5, 15, 23
15.96-16.0.2-8-12.2	5, 15, 24
15.96-16.0.2-8-12.3	5, 16, 21
15.96-16.0.2-8-12.4	5, 16, 22
15.96-16.0.2-8-12.5	5, 17, 23
15.96-16.0.2-8-12.6	5, 17, 24
15.96-16.0.2-8-12.7	5, 18, 21
15.96-16.0.2-8-12.8	5, 18, 22
15.96-16.0.2-8-12.9	6, 15, 21
15.96-16.0.2-8-12.10	6, 15, 22
15.96-16.0.2-8-12.11	6, 16, 23
15.96-16.0.2-8-12.12	6, 16, 24
15.96-16.0.2-8-12.13	6, 17, 21
15.96-16.0.2-8-12.14	6, 17, 22
15.96-16.0.2-8-12.15	6, 18, 23
15.96-16.0.2-8-12.16	6, 18, 24