Family of genus 8 curves with automorphism group $D_8$

• Label: 8.16-7.0.2-2-2-2-8
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(D_8\)
• Signature: \([ 0; 2, 2, 2, 2, 8 ]\)

Family Information

Genus:	$8$
Dimension of the family:	$2$

Cover

Quotient genus:	$0$
Number of branch points:	$5$
Signature:	$[ 0; 2, 2, 2, 2, 8 ]$

Group

Name:	$D_8$
Identifier:	$[16,7]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
8.16-7.0.2-2-2-2-8.1	2, 2, 3, 4, 6
8.16-7.0.2-2-2-2-8.2	2, 2, 3, 4, 7
8.16-7.0.2-2-2-2-8.3	3, 3, 3, 4, 6
8.16-7.0.2-2-2-2-8.4	3, 3, 3, 4, 7
8.16-7.0.2-2-2-2-8.5	3, 4, 4, 4, 6
8.16-7.0.2-2-2-2-8.6	3, 4, 4, 4, 7