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

• Label: 15.96-12.0.2-8-12
• 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:	$[96,12]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
15.96-12.0.2-8-12.1	4, 17, 25
15.96-12.0.2-8-12.2	4, 17, 26
15.96-12.0.2-8-12.3	4, 17, 29
15.96-12.0.2-8-12.4	4, 17, 30
15.96-12.0.2-8-12.5	4, 18, 23
15.96-12.0.2-8-12.6	4, 18, 24
15.96-12.0.2-8-12.7	4, 18, 27
15.96-12.0.2-8-12.8	4, 18, 28