Family of genus 10 curves with automorphism group $C_5:Q_8$

• Label: 10.40-4.0.4-4-20
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_5:Q_8\)
• Signature: \([ 0; 4, 4, 20 ]\)

Family Information

Genus:	$10$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 4, 4, 20 ]$

Group

Name:	$C_5:Q_8$
Identifier:	$[40,4]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.40-4.0.4-4-20.1	4, 5, 10
10.40-4.0.4-4-20.2	4, 5, 11
10.40-4.0.4-4-20.3	4, 5, 12
10.40-4.0.4-4-20.4	4, 5, 13