Family of genus 10 curves with automorphism group $C_6\times S_3$

• Label: 10.36-12.0.6-6-6
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_6\times S_3\)
• Signature: \([ 0; 6, 6, 6 ]\)

Family Information

Genus:	$10$
Dimension of the family:	$0$

Cover

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

Group

Name:	$C_6\times S_3$
Identifier:	$[36,12]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.36-12.0.6-6-6.1	12, 15, 18
10.36-12.0.6-6-6.2	12, 16, 17
10.36-12.0.6-6-6.3	13, 15, 17
10.36-12.0.6-6-6.4	14, 16, 18