Family of genus 10 curves with automorphism group $A_4$

• Label: 10.12-3.0.2-2-2-3-3-3
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(A_4\)
• Signature: \([ 0; 2, 2, 2, 3, 3, 3 ]\)

Family Information

Genus:	$10$
Dimension of the family:	$3$

Cover

Quotient genus:	$0$
Number of branch points:	$6$
Signature:	$[ 0; 2, 2, 2, 3, 3, 3 ]$

Group

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

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.12-3.0.2-2-2-3-3-3.1	2, 2, 2, 3, 3, 3
10.12-3.0.2-2-2-3-3-3.2	2, 2, 2, 4, 4, 4