Family of genus 10 curves with automorphism group $D_4$

• Label: 10.8-3.0.2-2-2-2-2-2-2-4
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(D_4\)
• Signature: \([ 0; 2, 2, 2, 2, 2, 2, 2, 4 ]\)

Family Information

Genus:	$10$
Dimension of the family:	$5$

Cover

Quotient genus:	$0$
Number of branch points:	$8$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4 ]$

Group

Name:	$D_4$
Identifier:	$[8,3]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.8-3.0.2-2-2-2-2-2-2-4.1	2, 2, 2, 2, 2, 3, 4, 5
10.8-3.0.2-2-2-2-2-2-2-4.2	2, 2, 2, 3, 3, 3, 4, 5
10.8-3.0.2-2-2-2-2-2-2-4.3	2, 2, 2, 3, 4, 4, 4, 5
10.8-3.0.2-2-2-2-2-2-2-4.4	2, 3, 3, 3, 3, 3, 4, 5
10.8-3.0.2-2-2-2-2-2-2-4.5	2, 3, 3, 3, 4, 4, 4, 5
10.8-3.0.2-2-2-2-2-2-2-4.6	2, 3, 4, 4, 4, 4, 4, 5