Family of genus 12 curves with automorphism group $C_{27}$

• Label: 12.27-1.0.9-27-27
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_{27}\)
• Signature: \([ 0; 9, 27, 27 ]\)

Family Information

Genus:	$12$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 9, 27, 27 ]$

Group

Name:	$C_{27}$
Identifier:	$[27,1]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
12.27-1.0.9-27-27.1	4, 10, 25
12.27-1.0.9-27-27.2	4, 11, 24
12.27-1.0.9-27-27.3	4, 12, 23
12.27-1.0.9-27-27.4	4, 13, 22
12.27-1.0.9-27-27.5	4, 14, 21
12.27-1.0.9-27-27.6	4, 15, 20
12.27-1.0.9-27-27.7	4, 16, 19
12.27-1.0.9-27-27.8	4, 17, 18
12.27-1.0.9-27-27.9	4, 26, 27
12.27-1.0.9-27-27.10	5, 10, 23
12.27-1.0.9-27-27.11	5, 11, 22
12.27-1.0.9-27-27.12	5, 12, 21
12.27-1.0.9-27-27.13	5, 13, 20
12.27-1.0.9-27-27.14	5, 14, 19
12.27-1.0.9-27-27.15	5, 15, 18
12.27-1.0.9-27-27.16	5, 16, 17
12.27-1.0.9-27-27.17	5, 24, 27
12.27-1.0.9-27-27.18	5, 25, 26
12.27-1.0.9-27-27.19	6, 10, 19
12.27-1.0.9-27-27.20	6, 11, 18
12.27-1.0.9-27-27.21	6, 12, 17
12.27-1.0.9-27-27.22	6, 13, 16
12.27-1.0.9-27-27.23	6, 14, 15
12.27-1.0.9-27-27.24	6, 20, 27
12.27-1.0.9-27-27.25	6, 21, 26
12.27-1.0.9-27-27.26	6, 22, 25
12.27-1.0.9-27-27.27	6, 23, 24
12.27-1.0.9-27-27.28	7, 10, 17
12.27-1.0.9-27-27.29	7, 11, 16
12.27-1.0.9-27-27.30	7, 12, 15
12.27-1.0.9-27-27.31	7, 13, 14
12.27-1.0.9-27-27.32	7, 18, 27
12.27-1.0.9-27-27.33	7, 19, 26
12.27-1.0.9-27-27.34	7, 20, 25
12.27-1.0.9-27-27.35	7, 21, 24
12.27-1.0.9-27-27.36	7, 22, 23
12.27-1.0.9-27-27.37	8, 10, 13
12.27-1.0.9-27-27.38	8, 11, 12
12.27-1.0.9-27-27.39	8, 14, 27
12.27-1.0.9-27-27.40	8, 15, 26
12.27-1.0.9-27-27.41	8, 16, 25
12.27-1.0.9-27-27.42	8, 17, 24
12.27-1.0.9-27-27.43	8, 18, 23
12.27-1.0.9-27-27.44	8, 19, 22
12.27-1.0.9-27-27.45	8, 20, 21
12.27-1.0.9-27-27.46	9, 10, 11
12.27-1.0.9-27-27.47	9, 12, 27
12.27-1.0.9-27-27.48	9, 13, 26
12.27-1.0.9-27-27.49	9, 14, 25
12.27-1.0.9-27-27.50	9, 15, 24
12.27-1.0.9-27-27.51	9, 16, 23
12.27-1.0.9-27-27.52	9, 17, 22
12.27-1.0.9-27-27.53	9, 18, 21
12.27-1.0.9-27-27.54	9, 19, 20