Family of genus 10 curves with automorphism group $C_6\wr C_2$

• Label: 10.72-30.0.2-6-12
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_6\wr C_2\)
• Signature: \([ 0; 2, 6, 12 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 6, 12 ]$

Group

Name:	$C_6\wr C_2$
Identifier:	$[72,30]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.72-30.0.2-6-12.1	4, 20, 27
10.72-30.0.2-6-12.2	4, 21, 26
10.72-30.0.2-6-12.3	4, 22, 27
10.72-30.0.2-6-12.4	4, 23, 26