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
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Results (displaying matches 1-50 of 245)

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
15.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	15	$C_2$	2	29	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.2	15	$C_4$	4	14	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.1	15	$C_4$	4	14	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.36	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.52	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.44	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.45	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.2	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	15	$C_2^2$	4	15	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.6-2.0.2-2-2-2-2-2-2-2-2-2-6-6.1	15	$C_6$	6	9	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6 ]$
15.8-2.0.2-2-2-2-2-2-2-2-4-4.108	15	$C_2\times C_4$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.8-2.0.2-2-2-2-2-2-2-2-4-4.1	15	$C_2\times C_4$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.8-2.0.2-2-2-2-2-2-2-2-4-4.2	15	$C_2\times C_4$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.8-2.0.2-2-2-2-2-2-2-2-4-4.3	15	$C_2\times C_4$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.8-2.0.2-2-2-2-2-2-2-2-4-4.4	15	$C_2\times C_4$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.8-2.0.2-2-2-2-2-2-2-2-4-4.83	15	$C_2\times C_4$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.8-2.0.2-2-2-2-2-2-2-2-4-4.84	15	$C_2\times C_4$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.8-2.0.2-2-2-2-2-2-2-2-4-4.107	15	$C_2\times C_4$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.940	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.2	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.3	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.4	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.566	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.567	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.775	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.805	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.815	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.819	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.820	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.821	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.890	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.935	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.939	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.950	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.951	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1224	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1260	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1273	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1280	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1334	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1370	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1380	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1393	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1154	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1155	15	$C_2^3$	8	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
15.10-2.0.2-2-2-2-2-2-10-10.1	15	$C_{10}$	10	5	$[ 0; 2, 2, 2, 2, 2, 2, 10, 10 ]$
15.10-2.0.2-2-2-2-2-2-10-10.2	15	$C_{10}$	10	5	$[ 0; 2, 2, 2, 2, 2, 2, 10, 10 ]$
15.12-2.0.2-2-2-2-2-12-12.1	15	$C_{12}$	12	4	$[ 0; 2, 2, 2, 2, 2, 12, 12 ]$
15.12-1.0.2-2-2-2-4-4-6.1	15	$C_3:C_4$	12	4	$[ 0; 2, 2, 2, 2, 4, 4, 6 ]$