Families of Higher Genus Curves with Automorphisms Search Results

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

Results (displaying matches 1-50 of 969)

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
7.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	7	$C_2$	2	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.3-1.0.3-3-3-3-3-3-3-3-3.2	7	$C_3$	3	6	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
7.3-1.0.3-3-3-3-3-3-3-3-3.1	7	$C_3$	3	6	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
7.3-1.0.3-3-3-3-3-3-3-3-3.4	7	$C_3$	3	6	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
7.3-1.0.3-3-3-3-3-3-3-3-3.3	7	$C_3$	3	6	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
7.4-1.0.2-4-4-4-4-4-4.4	7	$C_4$	4	4	$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
7.4-1.0.2-4-4-4-4-4-4.2	7	$C_4$	4	4	$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
7.4-1.0.2-4-4-4-4-4-4.1	7	$C_4$	4	4	$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
7.4-1.0.2-4-4-4-4-4-4.3	7	$C_4$	4	4	$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
7.4-1.0.2-2-2-2-4-4-4-4.3	7	$C_4$	4	5	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$
7.4-1.0.2-2-2-2-4-4-4-4.1	7	$C_4$	4	5	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$
7.4-1.0.2-2-2-2-4-4-4-4.2	7	$C_4$	4	5	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$
7.4-1.0.2-2-2-2-2-2-2-4-4.1	7	$C_4$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
7.4-1.0.2-2-2-2-2-2-2-4-4.2	7	$C_4$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.14	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.15	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.16	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.17	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.1	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.2	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.3	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.4	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.5	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.6	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.7	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.8	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.9	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.10	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.11	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.12	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.13	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.4-2.0.2-2-2-2-2-2-2-2-2-2.18	7	$C_2^2$	4	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
7.6-2.0.3-6-6-6-6.1	7	$C_6$	6	2	$[ 0; 3, 6, 6, 6, 6 ]$
7.6-2.0.3-6-6-6-6.2	7	$C_6$	6	2	$[ 0; 3, 6, 6, 6, 6 ]$
7.6-2.0.3-6-6-6-6.3	7	$C_6$	6	2	$[ 0; 3, 6, 6, 6, 6 ]$
7.6-2.0.3-6-6-6-6.4	7	$C_6$	6	2	$[ 0; 3, 6, 6, 6, 6 ]$
7.6-2.0.2-3-3-3-3-6.4	7	$C_6$	6	3	$[ 0; 2, 3, 3, 3, 3, 6 ]$
7.6-2.0.2-2-3-3-6-6.1	7	$C_6$	6	3	$[ 0; 2, 2, 3, 3, 6, 6 ]$
7.6-2.0.2-2-3-3-6-6.2	7	$C_6$	6	3	$[ 0; 2, 2, 3, 3, 6, 6 ]$
7.6-2.0.2-2-3-3-6-6.3	7	$C_6$	6	3	$[ 0; 2, 2, 3, 3, 6, 6 ]$
7.6-2.0.2-2-2-6-6-6.2	7	$C_6$	6	3	$[ 0; 2, 2, 2, 6, 6, 6 ]$
7.6-2.0.2-2-2-6-6-6.1	7	$C_6$	6	3	$[ 0; 2, 2, 2, 6, 6, 6 ]$
7.6-2.0.2-3-3-3-3-6.1	7	$C_6$	6	3	$[ 0; 2, 3, 3, 3, 3, 6 ]$
7.6-2.0.2-3-3-3-3-6.2	7	$C_6$	6	3	$[ 0; 2, 3, 3, 3, 3, 6 ]$
7.6-2.0.2-3-3-3-3-6.3	7	$C_6$	6	3	$[ 0; 2, 3, 3, 3, 3, 6 ]$
7.6-2.0.2-2-2-2-2-3-6.2	7	$C_6$	6	4	$[ 0; 2, 2, 2, 2, 2, 3, 6 ]$
7.6-1.0.2-2-2-2-3-3-3.1	7	$S_3$	6	4	$[ 0; 2, 2, 2, 2, 3, 3, 3 ]$
7.6-2.0.2-2-2-2-3-3-3.1	7	$C_6$	6	4	$[ 0; 2, 2, 2, 2, 3, 3, 3 ]$
7.6-2.0.2-2-2-2-3-3-3.2	7	$C_6$	6	4	$[ 0; 2, 2, 2, 2, 3, 3, 3 ]$
7.6-2.0.2-2-2-2-2-3-6.1	7	$C_6$	6	4	$[ 0; 2, 2, 2, 2, 2, 3, 6 ]$