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 all 43 matches)

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	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-1.0.2-2-2-2-2-2-4-4.1	6	$C_4$	4	5	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.1	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.10	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.4-2.0.2-2-2-2-2-2-2-2-2.7	6	$C_2^2$	4	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
6.6-2.0.2-2-2-2-6-6.1	6	$C_6$	6	3	$[ 0; 2, 2, 2, 2, 6, 6 ]$
6.8-1.0.2-2-2-8-8.2	6	$C_8$	8	2	$[ 0; 2, 2, 2, 8, 8 ]$
6.8-1.0.2-2-2-8-8.1	6	$C_8$	8	2	$[ 0; 2, 2, 2, 8, 8 ]$
6.8-4.0.2-2-4-4-4.1	6	$Q_8$	8	2	$[ 0; 2, 2, 4, 4, 4 ]$
6.8-3.0.2-2-2-2-2-4.1	6	$D_4$	8	3	$[ 0; 2, 2, 2, 2, 2, 4 ]$
6.12-1.0.2-4-4-6.1	6	$C_3:C_4$	12	1	$[ 0; 2, 4, 4, 6 ]$
6.12-4.0.2-2-2-2-6.1	6	$D_6$	12	2	$[ 0; 2, 2, 2, 2, 6 ]$
6.16-8.0.2-2-4-8.2	6	$SD_{16}$	16	1	$[ 0; 2, 2, 4, 8 ]$
6.16-8.0.2-2-4-8.1	6	$SD_{16}$	16	1	$[ 0; 2, 2, 4, 8 ]$
6.24-6.0.2-2-2-12.2	6	$D_{12}$	24	1	$[ 0; 2, 2, 2, 12 ]$
6.24-6.0.2-2-2-12.1	6	$D_{12}$	24	1	$[ 0; 2, 2, 2, 12 ]$
6.26-2.0.2-13-26.6	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.1	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.2	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.3	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.4	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.5	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.7	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.8	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.9	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.10	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.11	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.26-2.0.2-13-26.12	6	$C_{26}$	26	0	$[ 0; 2, 13, 26 ]$
6.28-3.0.2-2-2-7.3	6	$D_{14}$	28	1	$[ 0; 2, 2, 2, 7 ]$
6.28-3.0.2-2-2-7.1	6	$D_{14}$	28	1	$[ 0; 2, 2, 2, 7 ]$
6.28-3.0.2-2-2-7.2	6	$D_{14}$	28	1	$[ 0; 2, 2, 2, 7 ]$
6.48-29.0.2-6-8.2	6	$\GL(2,3)$	48	0	$[ 0; 2, 6, 8 ]$
6.48-6.0.2-4-24.4	6	$C_8:S_3$	48	0	$[ 0; 2, 4, 24 ]$
6.48-6.0.2-4-24.3	6	$C_8:S_3$	48	0	$[ 0; 2, 4, 24 ]$
6.48-6.0.2-4-24.1	6	$C_8:S_3$	48	0	$[ 0; 2, 4, 24 ]$
6.48-6.0.2-4-24.2	6	$C_8:S_3$	48	0	$[ 0; 2, 4, 24 ]$
6.48-29.0.2-6-8.1	6	$\GL(2,3)$	48	0	$[ 0; 2, 6, 8 ]$
6.56-7.0.2-4-14.3	6	$D_{14}:C_2$	56	0	$[ 0; 2, 4, 14 ]$
6.56-7.0.2-4-14.2	6	$D_{14}:C_2$	56	0	$[ 0; 2, 4, 14 ]$
6.56-7.0.2-4-14.1	6	$D_{14}:C_2$	56	0	$[ 0; 2, 4, 14 ]$
6.56-7.0.2-4-14.6	6	$D_{14}:C_2$	56	0	$[ 0; 2, 4, 14 ]$
6.56-7.0.2-4-14.5	6	$D_{14}:C_2$	56	0	$[ 0; 2, 4, 14 ]$
6.56-7.0.2-4-14.4	6	$D_{14}:C_2$	56	0	$[ 0; 2, 4, 14 ]$