Family of genus 10 curves with automorphism group $C_{11}:D_4$

• Label: 10.88-7.0.2-4-22
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_{11}:D_4\)
• Signature: \([ 0; 2, 4, 22 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 4, 22 ]$

Group

Name:	$C_{11}:D_4$
Identifier:	$[88,7]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.88-7.0.2-4-22.1	4, 5, 16
10.88-7.0.2-4-22.2	4, 5, 17
10.88-7.0.2-4-22.3	4, 5, 18
10.88-7.0.2-4-22.4	4, 5, 19
10.88-7.0.2-4-22.5	4, 5, 20
10.88-7.0.2-4-22.6	4, 5, 21
10.88-7.0.2-4-22.7	4, 5, 22
10.88-7.0.2-4-22.8	4, 5, 23
10.88-7.0.2-4-22.9	4, 5, 24
10.88-7.0.2-4-22.10	4, 5, 25