Family of genus 9 curves with automorphism group $A_4$

• Label: 9.12-3.0.3-3-3-3-3
• Genus: \(9\)
• Quotient genus: \(0\)
• Group: \(A_4\)
• Signature: \([ 0; 3, 3, 3, 3, 3 ]\)

Family Information

Genus:	$9$
Dimension of the family:	$2$

Cover

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

Group

Name:	$A_4$
Identifier:	$[12,3]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
9.12-3.0.3-3-3-3-3.1	3, 3, 3, 3, 4
9.12-3.0.3-3-3-3-3.2	3, 4, 4, 4, 4