Family of genus 10 curves with automorphism group $\He_3.C_6$

• Label: 10.162-14.0.2-3-18
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(\He_3.C_6\)
• Signature: \([ 0; 2, 3, 18 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 3, 18 ]$

Group

Name:	$\He_3.C_6$
Identifier:	$[162,14]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.162-14.0.2-3-18.1	2, 7, 18
10.162-14.0.2-3-18.2	2, 7, 20
10.162-14.0.2-3-18.3	2, 7, 22
10.162-14.0.2-3-18.4	2, 8, 17
10.162-14.0.2-3-18.5	2, 8, 19
10.162-14.0.2-3-18.6	2, 8, 21