Family of genus 10 curves with automorphism group $C_{42}$

• Label: 10.42-6.0.2-21-42
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_{42}\)
• Signature: \([ 0; 2, 21, 42 ]\)

Family Information

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

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 21, 42 ]$

Group

Name:	$C_{42}$
Identifier:	$[42,6]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.42-6.0.2-21-42.1	2, 19, 42
10.42-6.0.2-21-42.2	2, 20, 36
10.42-6.0.2-21-42.3	2, 21, 35
10.42-6.0.2-21-42.4	2, 22, 41
10.42-6.0.2-21-42.5	2, 23, 34
10.42-6.0.2-21-42.6	2, 24, 33
10.42-6.0.2-21-42.7	2, 25, 40
10.42-6.0.2-21-42.8	2, 26, 39
10.42-6.0.2-21-42.9	2, 27, 32
10.42-6.0.2-21-42.10	2, 28, 38
10.42-6.0.2-21-42.11	2, 29, 37
10.42-6.0.2-21-42.12	2, 30, 31