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 66)

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
10.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	10	$C_2$	2	19	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-1.0.2-2-2-2-2-2-2-2-2-2-4-4.1	10	$C_4$	4	9	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.1	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.21	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.16	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.6-2.0.2-2-2-2-2-2-2-3-6.1	10	$C_6$	6	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 3, 6 ]$
10.6-2.0.2-2-2-2-2-2-2-3-6.2	10	$C_6$	6	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 3, 6 ]$
10.8-4.0.2-2-2-2-4-4-4.1	10	$Q_8$	8	4	$[ 0; 2, 2, 2, 2, 4, 4, 4 ]$
10.8-1.0.2-2-2-2-2-8-8.1	10	$C_8$	8	4	$[ 0; 2, 2, 2, 2, 2, 8, 8 ]$
10.8-1.0.2-2-2-2-2-8-8.2	10	$C_8$	8	4	$[ 0; 2, 2, 2, 2, 2, 8, 8 ]$
10.8-3.0.2-2-2-2-2-2-2-4.1	10	$D_4$	8	5	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4 ]$
10.10-2.0.2-2-2-2-10-10.2	10	$C_{10}$	10	3	$[ 0; 2, 2, 2, 2, 10, 10 ]$
10.10-2.0.2-2-2-2-10-10.1	10	$C_{10}$	10	3	$[ 0; 2, 2, 2, 2, 10, 10 ]$
10.14-2.0.2-2-2-7-14.4	10	$C_{14}$	14	2	$[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.5	10	$C_{14}$	14	2	$[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.6	10	$C_{14}$	14	2	$[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.1	10	$C_{14}$	14	2	$[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.3	10	$C_{14}$	14	2	$[ 0; 2, 2, 2, 7, 14 ]$
10.14-2.0.2-2-2-7-14.2	10	$C_{14}$	14	2	$[ 0; 2, 2, 2, 7, 14 ]$
10.16-8.0.2-2-2-4-8.1	10	$SD_{16}$	16	2	$[ 0; 2, 2, 2, 4, 8 ]$
10.16-8.0.2-2-2-4-8.2	10	$SD_{16}$	16	2	$[ 0; 2, 2, 2, 4, 8 ]$
10.20-1.0.2-4-4-10.1	10	$C_5:C_4$	20	1	$[ 0; 2, 4, 4, 10 ]$
10.20-1.0.2-4-4-10.2	10	$C_5:C_4$	20	1	$[ 0; 2, 4, 4, 10 ]$
10.20-4.0.2-2-2-2-10.1	10	$D_{10}$	20	2	$[ 0; 2, 2, 2, 2, 10 ]$
10.20-4.0.2-2-2-2-10.2	10	$D_{10}$	20	2	$[ 0; 2, 2, 2, 2, 10 ]$
10.24-3.0.2-3-4-6.1	10	$\SL(2,3)$	24	1	$[ 0; 2, 3, 4, 6 ]$
10.24-3.0.2-3-4-6.2	10	$\SL(2,3)$	24	1	$[ 0; 2, 3, 4, 6 ]$
10.40-6.0.2-2-2-20.1	10	$D_{20}$	40	1	$[ 0; 2, 2, 2, 20 ]$
10.40-6.0.2-2-2-20.4	10	$D_{20}$	40	1	$[ 0; 2, 2, 2, 20 ]$
10.40-6.0.2-2-2-20.3	10	$D_{20}$	40	1	$[ 0; 2, 2, 2, 20 ]$
10.40-6.0.2-2-2-20.2	10	$D_{20}$	40	1	$[ 0; 2, 2, 2, 20 ]$
10.42-6.0.2-21-42.3	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.2	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.1	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.6	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.5	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.7	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.8	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.9	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.10	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.11	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.12	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.42-6.0.2-21-42.4	10	$C_{42}$	42	0	$[ 0; 2, 21, 42 ]$
10.44-3.0.2-2-2-11.4	10	$D_{22}$	44	1	$[ 0; 2, 2, 2, 11 ]$
10.44-3.0.2-2-2-11.1	10	$D_{22}$	44	1	$[ 0; 2, 2, 2, 11 ]$
10.44-3.0.2-2-2-11.2	10	$D_{22}$	44	1	$[ 0; 2, 2, 2, 11 ]$
10.44-3.0.2-2-2-11.3	10	$D_{22}$	44	1	$[ 0; 2, 2, 2, 11 ]$
10.44-3.0.2-2-2-11.5	10	$D_{22}$	44	1	$[ 0; 2, 2, 2, 11 ]$
10.80-6.0.2-4-40.8	10	$C_8:D_5$	80	0	$[ 0; 2, 4, 40 ]$
10.80-6.0.2-4-40.7	10	$C_8:D_5$	80	0	$[ 0; 2, 4, 40 ]$