Family of genus 12 curves with automorphism group $C_{12}$

• Label: 12.12-2.0.3-4-4-4-12
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_{12}\)
• Signature: \([ 0; 3, 4, 4, 4, 12 ]\)

Family Information

Genus:	$12$
Dimension of the family:	$2$

Cover

Quotient genus:	$0$
Number of branch points:	$5$
Signature:	$[ 0; 3, 4, 4, 4, 12 ]$

Group

Name:	$C_{12}$
Identifier:	$[12,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
12.12-2.0.3-4-4-4-12.1	3, 5, 5, 5, 10
12.12-2.0.3-4-4-4-12.2	3, 5, 5, 6, 12
12.12-2.0.3-4-4-4-12.3	3, 5, 6, 6, 10
12.12-2.0.3-4-4-4-12.4	3, 6, 6, 6, 12
12.12-2.0.3-4-4-4-12.5	4, 5, 5, 5, 9
12.12-2.0.3-4-4-4-12.6	4, 5, 5, 6, 11
12.12-2.0.3-4-4-4-12.7	4, 5, 6, 6, 9
12.12-2.0.3-4-4-4-12.8	4, 6, 6, 6, 11