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 192)

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
13.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	13	$C_2$	2	25	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.1	13	$C_4$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.2	13	$C_4$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.35	13	$C_2^2$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.28	13	$C_2^2$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.2	13	$C_2^2$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	13	$C_2^2$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.42	13	$C_2^2$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.36	13	$C_2^2$	4	13	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.6-2.0.2-2-2-2-2-2-2-2-2-3-6.2	13	$C_6$	6	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 6 ]$
13.6-2.0.2-2-2-2-2-2-2-2-2-3-6.1	13	$C_6$	6	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 6 ]$
13.8-2.0.2-2-2-2-2-2-2-4-4.87	13	$C_2\times C_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.8-2.0.2-2-2-2-2-2-2-4-4.74	13	$C_2\times C_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.8-2.0.2-2-2-2-2-2-2-4-4.73	13	$C_2\times C_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.8-2.0.2-2-2-2-2-2-2-4-4.4	13	$C_2\times C_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.8-2.0.2-2-2-2-2-2-2-4-4.3	13	$C_2\times C_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.8-2.0.2-2-2-2-2-2-2-4-4.2	13	$C_2\times C_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.8-2.0.2-2-2-2-2-2-2-4-4.1	13	$C_2\times C_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.8-2.0.2-2-2-2-2-2-2-4-4.88	13	$C_2\times C_4$	8	6	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.745	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.774	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.794	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.810	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.813	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.870	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.902	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.908	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.911	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.587	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.1	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.2	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.3	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.4	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.364	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.365	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.478	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.507	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.508	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.514	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.518	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.519	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.548	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.574	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.578	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.588	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.589	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.8-5.0.2-2-2-2-2-2-2-2-2-2.744	13	$C_2^3$	8	7	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
13.14-2.0.2-2-2-2-7-7.1	13	$C_{14}$	14	3	$[ 0; 2, 2, 2, 2, 7, 7 ]$
13.14-2.0.2-2-2-2-7-7.2	13	$C_{14}$	14	3	$[ 0; 2, 2, 2, 2, 7, 7 ]$
13.14-2.0.2-2-2-2-7-7.3	13	$C_{14}$	14	3	$[ 0; 2, 2, 2, 2, 7, 7 ]$