Family of genus 10 curves with automorphism group $C_3^2$

• Label: 10.9-2.0.3-3-3-3-3-3
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_3^2\)
• Signature: \([ 0; 3, 3, 3, 3, 3, 3 ]\)

Family Information

Genus:	$10$
Dimension of the family:	$3$

Cover

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

Group

Name:	$C_3^2$
Identifier:	$[9,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
10.9-2.0.3-3-3-3-3-3.1	2, 2, 2, 2, 4, 7
10.9-2.0.3-3-3-3-3-3.2	2, 2, 2, 2, 5, 8
10.9-2.0.3-3-3-3-3-3.3	2, 2, 2, 2, 6, 9
10.9-2.0.3-3-3-3-3-3.4	2, 2, 2, 3, 4, 9
10.9-2.0.3-3-3-3-3-3.5	2, 2, 2, 3, 5, 6
10.9-2.0.3-3-3-3-3-3.6	2, 2, 2, 3, 7, 8
10.9-2.0.3-3-3-3-3-3.7	2, 2, 2, 4, 4, 4
10.9-2.0.3-3-3-3-3-3.8	2, 2, 2, 4, 6, 8
10.9-2.0.3-3-3-3-3-3.9	2, 2, 2, 5, 5, 5
10.9-2.0.3-3-3-3-3-3.10	2, 2, 2, 5, 7, 9
10.9-2.0.3-3-3-3-3-3.11	2, 2, 2, 6, 6, 6
10.9-2.0.3-3-3-3-3-3.12	2, 2, 2, 7, 7, 7
10.9-2.0.3-3-3-3-3-3.13	2, 2, 2, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.14	2, 2, 2, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.15	2, 2, 3, 3, 4, 5
10.9-2.0.3-3-3-3-3-3.16	2, 2, 3, 3, 6, 7
10.9-2.0.3-3-3-3-3-3.17	2, 2, 3, 3, 8, 9
10.9-2.0.3-3-3-3-3-3.18	2, 2, 3, 4, 4, 8
10.9-2.0.3-3-3-3-3-3.19	2, 2, 3, 4, 6, 6
10.9-2.0.3-3-3-3-3-3.20	2, 2, 3, 5, 5, 7
10.9-2.0.3-3-3-3-3-3.21	2, 2, 3, 5, 9, 9
10.9-2.0.3-3-3-3-3-3.22	2, 2, 3, 6, 8, 8
10.9-2.0.3-3-3-3-3-3.23	2, 2, 3, 7, 7, 9
10.9-2.0.3-3-3-3-3-3.24	2, 2, 4, 4, 5, 9
10.9-2.0.3-3-3-3-3-3.25	2, 2, 4, 4, 7, 7
10.9-2.0.3-3-3-3-3-3.26	2, 2, 4, 5, 5, 6
10.9-2.0.3-3-3-3-3-3.27	2, 2, 4, 5, 7, 8
10.9-2.0.3-3-3-3-3-3.28	2, 2, 4, 6, 7, 9
10.9-2.0.3-3-3-3-3-3.29	2, 2, 4, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.30	2, 2, 5, 5, 8, 8
10.9-2.0.3-3-3-3-3-3.31	2, 2, 5, 6, 6, 7
10.9-2.0.3-3-3-3-3-3.32	2, 2, 5, 6, 8, 9
10.9-2.0.3-3-3-3-3-3.33	2, 2, 6, 6, 9, 9
10.9-2.0.3-3-3-3-3-3.34	2, 2, 6, 7, 7, 8
10.9-2.0.3-3-3-3-3-3.35	2, 2, 7, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.36	2, 3, 3, 3, 4, 7
10.9-2.0.3-3-3-3-3-3.37	2, 3, 3, 3, 5, 8
10.9-2.0.3-3-3-3-3-3.38	2, 3, 3, 3, 6, 9
10.9-2.0.3-3-3-3-3-3.39	2, 3, 3, 4, 4, 6
10.9-2.0.3-3-3-3-3-3.40	2, 3, 3, 4, 8, 8
10.9-2.0.3-3-3-3-3-3.41	2, 3, 3, 5, 5, 9
10.9-2.0.3-3-3-3-3-3.42	2, 3, 3, 5, 7, 7
10.9-2.0.3-3-3-3-3-3.43	2, 3, 3, 6, 6, 8
10.9-2.0.3-3-3-3-3-3.44	2, 3, 3, 7, 9, 9
10.9-2.0.3-3-3-3-3-3.45	2, 3, 4, 4, 5, 5
10.9-2.0.3-3-3-3-3-3.46	2, 3, 4, 4, 7, 9
10.9-2.0.3-3-3-3-3-3.47	2, 3, 4, 5, 6, 7
10.9-2.0.3-3-3-3-3-3.48	2, 3, 4, 5, 8, 9
10.9-2.0.3-3-3-3-3-3.49	2, 3, 4, 6, 9, 9
10.9-2.0.3-3-3-3-3-3.50	2, 3, 4, 7, 7, 8
10.9-2.0.3-3-3-3-3-3.51	2, 3, 5, 5, 6, 8
10.9-2.0.3-3-3-3-3-3.52	2, 3, 5, 6, 6, 9
10.9-2.0.3-3-3-3-3-3.53	2, 3, 5, 7, 8, 8
10.9-2.0.3-3-3-3-3-3.54	2, 3, 6, 6, 7, 7
10.9-2.0.3-3-3-3-3-3.55	2, 3, 6, 7, 8, 9
10.9-2.0.3-3-3-3-3-3.56	2, 3, 8, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.57	2, 4, 4, 4, 4, 7
10.9-2.0.3-3-3-3-3-3.58	2, 4, 4, 4, 5, 8
10.9-2.0.3-3-3-3-3-3.59	2, 4, 4, 4, 6, 9
10.9-2.0.3-3-3-3-3-3.60	2, 4, 4, 5, 6, 6
10.9-2.0.3-3-3-3-3-3.61	2, 4, 4, 6, 7, 8
10.9-2.0.3-3-3-3-3-3.62	2, 4, 4, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.63	2, 4, 5, 5, 5, 7
10.9-2.0.3-3-3-3-3-3.64	2, 4, 5, 5, 9, 9
10.9-2.0.3-3-3-3-3-3.65	2, 4, 5, 6, 8, 8
10.9-2.0.3-3-3-3-3-3.66	2, 4, 5, 7, 7, 9
10.9-2.0.3-3-3-3-3-3.67	2, 4, 6, 6, 6, 7
10.9-2.0.3-3-3-3-3-3.68	2, 4, 6, 6, 8, 9
10.9-2.0.3-3-3-3-3-3.69	2, 4, 7, 7, 7, 7
10.9-2.0.3-3-3-3-3-3.70	2, 4, 7, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.71	2, 4, 7, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.72	2, 5, 5, 5, 5, 8
10.9-2.0.3-3-3-3-3-3.73	2, 5, 5, 5, 6, 9
10.9-2.0.3-3-3-3-3-3.74	2, 5, 5, 6, 7, 7
10.9-2.0.3-3-3-3-3-3.75	2, 5, 5, 7, 8, 9
10.9-2.0.3-3-3-3-3-3.76	2, 5, 6, 6, 6, 8
10.9-2.0.3-3-3-3-3-3.77	2, 5, 6, 7, 9, 9
10.9-2.0.3-3-3-3-3-3.78	2, 5, 7, 7, 7, 8
10.9-2.0.3-3-3-3-3-3.79	2, 5, 8, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.80	2, 5, 8, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.81	2, 6, 6, 6, 6, 9
10.9-2.0.3-3-3-3-3-3.82	2, 6, 6, 7, 8, 8
10.9-2.0.3-3-3-3-3-3.83	2, 6, 7, 7, 7, 9
10.9-2.0.3-3-3-3-3-3.84	2, 6, 8, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.85	2, 6, 9, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.86	2, 7, 7, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.87	3, 3, 3, 3, 4, 9
10.9-2.0.3-3-3-3-3-3.88	3, 3, 3, 3, 5, 6
10.9-2.0.3-3-3-3-3-3.89	3, 3, 3, 3, 7, 8
10.9-2.0.3-3-3-3-3-3.90	3, 3, 3, 4, 4, 4
10.9-2.0.3-3-3-3-3-3.91	3, 3, 3, 4, 6, 8
10.9-2.0.3-3-3-3-3-3.92	3, 3, 3, 5, 5, 5
10.9-2.0.3-3-3-3-3-3.93	3, 3, 3, 5, 7, 9
10.9-2.0.3-3-3-3-3-3.94	3, 3, 3, 6, 6, 6
10.9-2.0.3-3-3-3-3-3.95	3, 3, 3, 7, 7, 7
10.9-2.0.3-3-3-3-3-3.96	3, 3, 3, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.97	3, 3, 3, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.98	3, 3, 4, 4, 5, 7
10.9-2.0.3-3-3-3-3-3.99	3, 3, 4, 4, 9, 9
10.9-2.0.3-3-3-3-3-3.100	3, 3, 4, 5, 5, 8
10.9-2.0.3-3-3-3-3-3.101	3, 3, 4, 5, 6, 9
10.9-2.0.3-3-3-3-3-3.102	3, 3, 4, 6, 7, 7
10.9-2.0.3-3-3-3-3-3.103	3, 3, 4, 7, 8, 9
10.9-2.0.3-3-3-3-3-3.104	3, 3, 5, 5, 6, 6
10.9-2.0.3-3-3-3-3-3.105	3, 3, 5, 6, 7, 8
10.9-2.0.3-3-3-3-3-3.106	3, 3, 5, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.107	3, 3, 6, 6, 7, 9
10.9-2.0.3-3-3-3-3-3.108	3, 3, 6, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.109	3, 3, 7, 7, 8, 8
10.9-2.0.3-3-3-3-3-3.110	3, 4, 4, 4, 4, 9
10.9-2.0.3-3-3-3-3-3.111	3, 4, 4, 4, 5, 6
10.9-2.0.3-3-3-3-3-3.112	3, 4, 4, 4, 7, 8
10.9-2.0.3-3-3-3-3-3.113	3, 4, 4, 5, 8, 8
10.9-2.0.3-3-3-3-3-3.114	3, 4, 4, 6, 6, 7
10.9-2.0.3-3-3-3-3-3.115	3, 4, 4, 6, 8, 9
10.9-2.0.3-3-3-3-3-3.116	3, 4, 5, 5, 5, 9
10.9-2.0.3-3-3-3-3-3.117	3, 4, 5, 5, 7, 7
10.9-2.0.3-3-3-3-3-3.118	3, 4, 5, 6, 6, 8
10.9-2.0.3-3-3-3-3-3.119	3, 4, 5, 7, 9, 9
10.9-2.0.3-3-3-3-3-3.120	3, 4, 6, 6, 6, 9
10.9-2.0.3-3-3-3-3-3.121	3, 4, 6, 7, 8, 8
10.9-2.0.3-3-3-3-3-3.122	3, 4, 7, 7, 7, 9
10.9-2.0.3-3-3-3-3-3.123	3, 4, 8, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.124	3, 4, 9, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.125	3, 5, 5, 5, 5, 6
10.9-2.0.3-3-3-3-3-3.126	3, 5, 5, 5, 7, 8
10.9-2.0.3-3-3-3-3-3.127	3, 5, 5, 6, 7, 9
10.9-2.0.3-3-3-3-3-3.128	3, 5, 5, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.129	3, 5, 6, 6, 6, 6
10.9-2.0.3-3-3-3-3-3.130	3, 5, 6, 7, 7, 7
10.9-2.0.3-3-3-3-3-3.131	3, 5, 6, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.132	3, 5, 6, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.133	3, 5, 7, 7, 8, 9
10.9-2.0.3-3-3-3-3-3.134	3, 6, 6, 6, 7, 8
10.9-2.0.3-3-3-3-3-3.135	3, 6, 6, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.136	3, 6, 7, 7, 9, 9
10.9-2.0.3-3-3-3-3-3.137	3, 7, 7, 7, 7, 8
10.9-2.0.3-3-3-3-3-3.138	3, 7, 8, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.139	3, 7, 8, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.140	4, 4, 4, 4, 6, 8
10.9-2.0.3-3-3-3-3-3.141	4, 4, 4, 5, 7, 9
10.9-2.0.3-3-3-3-3-3.142	4, 4, 4, 6, 6, 6
10.9-2.0.3-3-3-3-3-3.143	4, 4, 4, 7, 7, 7
10.9-2.0.3-3-3-3-3-3.144	4, 4, 4, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.145	4, 4, 4, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.146	4, 4, 5, 5, 6, 7
10.9-2.0.3-3-3-3-3-3.147	4, 4, 5, 5, 8, 9
10.9-2.0.3-3-3-3-3-3.148	4, 4, 5, 6, 9, 9
10.9-2.0.3-3-3-3-3-3.149	4, 4, 5, 7, 7, 8
10.9-2.0.3-3-3-3-3-3.150	4, 4, 6, 6, 8, 8
10.9-2.0.3-3-3-3-3-3.151	4, 4, 6, 7, 7, 9
10.9-2.0.3-3-3-3-3-3.152	4, 4, 7, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.153	4, 5, 5, 5, 6, 8
10.9-2.0.3-3-3-3-3-3.154	4, 5, 5, 6, 6, 9
10.9-2.0.3-3-3-3-3-3.155	4, 5, 5, 7, 8, 8
10.9-2.0.3-3-3-3-3-3.156	4, 5, 6, 6, 7, 7
10.9-2.0.3-3-3-3-3-3.157	4, 5, 6, 7, 8, 9
10.9-2.0.3-3-3-3-3-3.158	4, 5, 8, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.159	4, 6, 6, 6, 6, 8
10.9-2.0.3-3-3-3-3-3.160	4, 6, 6, 7, 9, 9
10.9-2.0.3-3-3-3-3-3.161	4, 6, 7, 7, 7, 8
10.9-2.0.3-3-3-3-3-3.162	4, 6, 8, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.163	4, 6, 8, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.164	4, 7, 7, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.165	5, 5, 5, 5, 7, 9
10.9-2.0.3-3-3-3-3-3.166	5, 5, 5, 6, 6, 6
10.9-2.0.3-3-3-3-3-3.167	5, 5, 5, 7, 7, 7
10.9-2.0.3-3-3-3-3-3.168	5, 5, 5, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.169	5, 5, 5, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.170	5, 5, 6, 6, 7, 8
10.9-2.0.3-3-3-3-3-3.171	5, 5, 6, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.172	5, 5, 7, 7, 9, 9
10.9-2.0.3-3-3-3-3-3.173	5, 6, 6, 6, 7, 9
10.9-2.0.3-3-3-3-3-3.174	5, 6, 6, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.175	5, 6, 7, 7, 8, 8
10.9-2.0.3-3-3-3-3-3.176	5, 7, 7, 7, 7, 9
10.9-2.0.3-3-3-3-3-3.177	5, 7, 8, 8, 8, 9
10.9-2.0.3-3-3-3-3-3.178	5, 7, 9, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.179	6, 6, 6, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.180	6, 6, 6, 9, 9, 9
10.9-2.0.3-3-3-3-3-3.181	6, 6, 7, 7, 8, 9
10.9-2.0.3-3-3-3-3-3.182	6, 7, 8, 8, 9, 9
10.9-2.0.3-3-3-3-3-3.183	7, 7, 7, 8, 8, 8
10.9-2.0.3-3-3-3-3-3.184	7, 7, 7, 9, 9, 9