Family of genus 8 curves with automorphism group $D_5$

• Label: 8.10-1.0.2-2-5-5-5
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(D_5\)
• Signature: \([ 0; 2, 2, 5, 5, 5 ]\)

Family Information

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

Cover

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

Group

Name:	$D_5$
Identifier:	$[10,1]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
8.10-1.0.2-2-5-5-5.1	2, 2, 3, 3, 3
8.10-1.0.2-2-5-5-5.2	2, 2, 3, 3, 4
8.10-1.0.2-2-5-5-5.3	2, 2, 3, 4, 4
8.10-1.0.2-2-5-5-5.4	2, 2, 4, 4, 4