Families of Higher Genus Curves with Automorphisms Search Results

Genus	Dimension of the family	Group order(s)	Hyperelliptic curve(s)	Full automorphism group
Quotient genus	Signature	Group identifier	Cyclic trigonal curve(s)

Sort order

Results (displaying matches 1-50 of 409)

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
6.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	6	$C_2$	2	11	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.3-1.0.3-3-3-3-3-3-3-3.1	6	$C_3$	3	5	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3 ]$
6.3-1.0.3-3-3-3-3-3-3-3.3	6	$C_3$	3	5	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3 ]$
6.3-1.0.3-3-3-3-3-3-3-3.2	6	$C_3$	3	5	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3 ]$
6.4-1.0.4-4-4-4-4-4.2	6	$C_4$	4	3	$[ 0; 4, 4, 4, 4, 4, 4 ]$
6.4-1.0.4-4-4-4-4-4.1	6	$C_4$	4	3	$[ 0; 4, 4, 4, 4, 4, 4 ]$
6.4-1.0.4-4-4-4-4-4.3	6	$C_4$	4	3	$[ 0; 4, 4, 4, 4, 4, 4 ]$
6.4-1.0.2-2-2-4-4-4-4.2	6	$C_4$	4	4	$[ 0; 2, 2, 2, 4, 4, 4, 4 ]$
6.4-1.0.2-2-2-4-4-4-4.1	6	$C_4$	4	4	$[ 0; 2, 2, 2, 4, 4, 4, 4 ]$
6.4-1.0.2-2-2-2-2-2-4-4.1	6	$C_4$	4	5	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.10	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.9	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.8	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.7	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.6	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.5	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.4	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.3	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.2	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.1	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.5-1.0.5-5-5-5-5.9	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.5	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.4	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.1	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.12	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.3	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.2	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.11	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.10	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.6	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.8	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.5-1.0.5-5-5-5-5.7	6	$C_5$	5	2	$[ 0; 5, 5, 5, 5, 5 ]$
6.6-2.0.3-3-3-6-6.2	6	$C_6$	6	2	$[ 0; 3, 3, 3, 6, 6 ]$
6.6-2.0.3-3-3-6-6.3	6	$C_6$	6	2	$[ 0; 3, 3, 3, 6, 6 ]$
6.6-2.0.3-3-3-6-6.4	6	$C_6$	6	2	$[ 0; 3, 3, 3, 6, 6 ]$
6.6-2.0.2-3-6-6-6.1	6	$C_6$	6	2	$[ 0; 2, 3, 6, 6, 6 ]$
6.6-2.0.2-3-6-6-6.2	6	$C_6$	6	2	$[ 0; 2, 3, 6, 6, 6 ]$
6.6-2.0.3-3-3-6-6.1	6	$C_6$	6	2	$[ 0; 3, 3, 3, 6, 6 ]$
6.6-2.0.2-2-3-3-3-3.1	6	$C_6$	6	3	$[ 0; 2, 2, 3, 3, 3, 3 ]$
6.6-2.0.2-2-2-3-3-6.1	6	$C_6$	6	3	$[ 0; 2, 2, 2, 3, 3, 6 ]$
6.6-2.0.2-2-2-3-3-6.2	6	$C_6$	6	3	$[ 0; 2, 2, 2, 3, 3, 6 ]$
6.6-2.0.2-2-2-2-6-6.1	6	$C_6$	6	3	$[ 0; 2, 2, 2, 2, 6, 6 ]$
6.6-1.0.2-2-3-3-3-3.1	6	$S_3$	6	3	$[ 0; 2, 2, 3, 3, 3, 3 ]$
6.6-1.0.2-2-2-2-2-2-3.1	6	$S_3$	6	4	$[ 0; 2, 2, 2, 2, 2, 2, 3 ]$
6.7-1.0.7-7-7-7.5	6	$C_7$	7	1	$[ 0; 7, 7, 7, 7 ]$
6.7-1.0.7-7-7-7.12	6	$C_7$	7	1	$[ 0; 7, 7, 7, 7 ]$
6.7-1.0.7-7-7-7.7	6	$C_7$	7	1	$[ 0; 7, 7, 7, 7 ]$
6.7-1.0.7-7-7-7.1	6	$C_7$	7	1	$[ 0; 7, 7, 7, 7 ]$
6.7-1.0.7-7-7-7.9	6	$C_7$	7	1	$[ 0; 7, 7, 7, 7 ]$
6.7-1.0.7-7-7-7.8	6	$C_7$	7	1	$[ 0; 7, 7, 7, 7 ]$