Family of Genus 8 Curves with Automorphism Group $C_2\times C_6$

• Genus: \(8\)
• Quotient Genus: \(0\)
• Group: \(C_2\times C_6\)
• Signature: \([ 0; 2, 2, 2, 6, 6 ]\)

Family Information

Genus:	8
Dimension of the family:	2

Cover

Quotient genus:	0
Number of branch points:	5
Signature:	$[ 0; 2, 2, 2, 6, 6 ]$

Group

Name:	$C_2\times C_6$
Identifier:	[12,5]

Conjugacy Class(es) of Refined Passports

Refined Passport Label	Lists of Conjugacy Classes
8.12-5.0.2-2-2-6-6.1	2, 2, 2, 9, 12
8.12-5.0.2-2-2-6-6.2	2, 2, 2, 10, 11
8.12-5.0.2-2-2-6-6.3	2, 2, 3, 7, 12
8.12-5.0.2-2-2-6-6.4	2, 2, 3, 8, 11
8.12-5.0.2-2-2-6-6.5	2, 2, 4, 7, 10
8.12-5.0.2-2-2-6-6.6	2, 2, 4, 8, 9
8.12-5.0.2-2-2-6-6.7	2, 3, 3, 9, 12
8.12-5.0.2-2-2-6-6.8	2, 3, 3, 10, 11
8.12-5.0.2-2-2-6-6.9	2, 3, 4, 7, 8
8.12-5.0.2-2-2-6-6.10	2, 3, 4, 9, 10
8.12-5.0.2-2-2-6-6.11	2, 3, 4, 11, 12
8.12-5.0.2-2-2-6-6.12	2, 4, 4, 9, 12
8.12-5.0.2-2-2-6-6.13	2, 4, 4, 10, 11
8.12-5.0.2-2-2-6-6.14	3, 3, 3, 7, 12
8.12-5.0.2-2-2-6-6.15	3, 3, 3, 8, 11
8.12-5.0.2-2-2-6-6.16	3, 3, 4, 7, 10
8.12-5.0.2-2-2-6-6.17	3, 3, 4, 8, 9
8.12-5.0.2-2-2-6-6.18	3, 4, 4, 7, 12
8.12-5.0.2-2-2-6-6.19	3, 4, 4, 8, 11
8.12-5.0.2-2-2-6-6.20	4, 4, 4, 7, 10
8.12-5.0.2-2-2-6-6.21	4, 4, 4, 8, 9