Family of Genus 12 Curves with Automorphism Group $C_2$

• Genus: \(12\)
• Quotient Genus: \(0\)
• Group: \(C_2\)
• Signature: \([ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]\)

Family Information

Genus:	12
Dimension of the family:	23

Cover

Quotient genus:	0
Number of branch points:	26
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$

Group

Name:	$C_2$
Identifier:	[2,1]

Conjugacy Class(es) of Refined Passports

Refined Passport Label	Lists of Conjugacy Classes
12.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2