Family of genus 8 curves with automorphism group $C_2\times C_{18}$

• Label: 8.36-5.0.2-18-18
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(C_2\times C_{18}\)
• Signature: \([ 0; 2, 18, 18 ]\)

Family Information

Genus:	$8$
Dimension of the family:	$0$

Cover

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

Group

Name:	$C_2\times C_{18}$
Identifier:	$[36,5]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
8.36-5.0.2-18-18.1	2, 25, 36
8.36-5.0.2-18-18.2	2, 26, 35
8.36-5.0.2-18-18.3	2, 27, 34
8.36-5.0.2-18-18.4	2, 28, 33
8.36-5.0.2-18-18.5	2, 29, 32
8.36-5.0.2-18-18.6	2, 30, 31
8.36-5.0.2-18-18.7	3, 19, 36
8.36-5.0.2-18-18.8	3, 20, 35
8.36-5.0.2-18-18.9	3, 21, 34
8.36-5.0.2-18-18.10	3, 22, 33
8.36-5.0.2-18-18.11	3, 23, 32
8.36-5.0.2-18-18.12	3, 24, 31
8.36-5.0.2-18-18.13	4, 19, 30
8.36-5.0.2-18-18.14	4, 20, 29
8.36-5.0.2-18-18.15	4, 21, 28
8.36-5.0.2-18-18.16	4, 22, 27
8.36-5.0.2-18-18.17	4, 23, 26
8.36-5.0.2-18-18.18	4, 24, 25