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 87)

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
12.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	12	$C_2$	2	23	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4.1	12	$C_4$	4	11	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.22	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.28	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.6-2.0.2-2-2-2-2-2-2-2-6-6.1	12	$C_6$	6	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 6, 6 ]$
12.8-4.0.2-2-2-2-2-4-4-4.1	12	$Q_8$	8	5	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4 ]$
12.8-1.0.2-2-2-2-2-2-8-8.1	12	$C_8$	8	5	$[ 0; 2, 2, 2, 2, 2, 2, 8, 8 ]$
12.8-1.0.2-2-2-2-2-2-8-8.2	12	$C_8$	8	5	$[ 0; 2, 2, 2, 2, 2, 2, 8, 8 ]$
12.8-3.0.2-2-2-2-2-2-2-2-4.1	12	$D_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4 ]$
12.10-2.0.2-2-2-2-2-5-10.1	12	$C_{10}$	10	4	$[ 0; 2, 2, 2, 2, 2, 5, 10 ]$
12.10-2.0.2-2-2-2-2-5-10.2	12	$C_{10}$	10	4	$[ 0; 2, 2, 2, 2, 2, 5, 10 ]$
12.10-2.0.2-2-2-2-2-5-10.3	12	$C_{10}$	10	4	$[ 0; 2, 2, 2, 2, 2, 5, 10 ]$
12.10-2.0.2-2-2-2-2-5-10.4	12	$C_{10}$	10	4	$[ 0; 2, 2, 2, 2, 2, 5, 10 ]$
12.12-1.0.2-2-2-4-4-6.1	12	$C_3:C_4$	12	3	$[ 0; 2, 2, 2, 4, 4, 6 ]$
12.12-2.0.2-2-2-2-12-12.1	12	$C_{12}$	12	3	$[ 0; 2, 2, 2, 2, 12, 12 ]$
12.12-2.0.2-2-2-2-12-12.2	12	$C_{12}$	12	3	$[ 0; 2, 2, 2, 2, 12, 12 ]$
12.12-4.0.2-2-2-2-2-2-6.1	12	$D_6$	12	4	$[ 0; 2, 2, 2, 2, 2, 2, 6 ]$
12.16-1.0.2-2-2-16-16.1	12	$C_{16}$	16	2	$[ 0; 2, 2, 2, 16, 16 ]$
12.16-9.0.2-2-4-4-8.1	12	$Q_{16}$	16	2	$[ 0; 2, 2, 4, 4, 8 ]$
12.16-9.0.2-2-4-4-8.2	12	$Q_{16}$	16	2	$[ 0; 2, 2, 4, 4, 8 ]$
12.16-1.0.2-2-2-16-16.2	12	$C_{16}$	16	2	$[ 0; 2, 2, 2, 16, 16 ]$
12.16-1.0.2-2-2-16-16.3	12	$C_{16}$	16	2	$[ 0; 2, 2, 2, 16, 16 ]$
12.16-1.0.2-2-2-16-16.4	12	$C_{16}$	16	2	$[ 0; 2, 2, 2, 16, 16 ]$
12.16-7.0.2-2-2-2-2-8.1	12	$D_8$	16	3	$[ 0; 2, 2, 2, 2, 2, 8 ]$
12.16-7.0.2-2-2-2-2-8.2	12	$D_8$	16	3	$[ 0; 2, 2, 2, 2, 2, 8 ]$
12.24-4.0.2-4-4-12.1	12	$C_3:Q_8$	24	1	$[ 0; 2, 4, 4, 12 ]$
12.24-4.0.2-4-4-12.2	12	$C_3:Q_8$	24	1	$[ 0; 2, 4, 4, 12 ]$
12.24-3.0.2-4-6-6.1	12	$\SL(2,3)$	24	1	$[ 0; 2, 4, 6, 6 ]$
12.24-6.0.2-2-2-2-12.2	12	$D_{12}$	24	2	$[ 0; 2, 2, 2, 2, 12 ]$
12.24-6.0.2-2-2-2-12.1	12	$D_{12}$	24	2	$[ 0; 2, 2, 2, 2, 12 ]$
12.32-19.0.2-2-4-16.2	12	$SD_{32}$	32	1	$[ 0; 2, 2, 4, 16 ]$
12.32-19.0.2-2-4-16.1	12	$SD_{32}$	32	1	$[ 0; 2, 2, 4, 16 ]$
12.32-19.0.2-2-4-16.3	12	$SD_{32}$	32	1	$[ 0; 2, 2, 4, 16 ]$
12.32-19.0.2-2-4-16.4	12	$SD_{32}$	32	1	$[ 0; 2, 2, 4, 16 ]$
12.48-28.0.4-6-8.1	12	$C_2.S_4$	48	0	$[ 0; 4, 6, 8 ]$
12.48-28.0.4-6-8.2	12	$C_2.S_4$	48	0	$[ 0; 4, 6, 8 ]$
12.48-7.0.2-2-2-24.1	12	$D_{24}$	48	1	$[ 0; 2, 2, 2, 24 ]$
12.48-7.0.2-2-2-24.2	12	$D_{24}$	48	1	$[ 0; 2, 2, 2, 24 ]$
12.48-7.0.2-2-2-24.3	12	$D_{24}$	48	1	$[ 0; 2, 2, 2, 24 ]$
12.48-7.0.2-2-2-24.4	12	$D_{24}$	48	1	$[ 0; 2, 2, 2, 24 ]$
12.50-2.0.2-25-50.12	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$
12.50-2.0.2-25-50.1	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$
12.50-2.0.2-25-50.2	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$
12.50-2.0.2-25-50.3	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$
12.50-2.0.2-25-50.4	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$
12.50-2.0.2-25-50.5	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$
12.50-2.0.2-25-50.6	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$
12.50-2.0.2-25-50.7	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$
12.50-2.0.2-25-50.8	12	$C_{50}$	50	0	$[ 0; 2, 25, 50 ]$