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 all 14 matches)

Refined Passport Label	Genus	Group	Group Order	Dimension	Signature
2.2-1.0.2-2-2-2-2-2.1	2	$C_2$	2	3	$[ 0; 2, 2, 2, 2, 2, 2 ]$
2.4-2.0.2-2-2-2-2.2	2	$C_2^2$	4	2	$[ 0; 2, 2, 2, 2, 2 ]$
2.4-2.0.2-2-2-2-2.1	2	$C_2^2$	4	2	$[ 0; 2, 2, 2, 2, 2 ]$
2.4-2.0.2-2-2-2-2.3	2	$C_2^2$	4	2	$[ 0; 2, 2, 2, 2, 2 ]$
2.8-3.0.2-2-2-4.1	2	$D_4$	8	1	$[ 0; 2, 2, 2, 4 ]$
2.10-2.0.2-5-10.1	2	$C_{10}$	10	0	$[ 0; 2, 5, 10 ]$
2.10-2.0.2-5-10.3	2	$C_{10}$	10	0	$[ 0; 2, 5, 10 ]$
2.10-2.0.2-5-10.4	2	$C_{10}$	10	0	$[ 0; 2, 5, 10 ]$
2.10-2.0.2-5-10.2	2	$C_{10}$	10	0	$[ 0; 2, 5, 10 ]$
2.12-4.0.2-2-2-3.1	2	$D_6$	12	1	$[ 0; 2, 2, 2, 3 ]$
2.24-8.0.2-4-6.2	2	$C_3:D_4$	24	0	$[ 0; 2, 4, 6 ]$
2.24-8.0.2-4-6.1	2	$C_3:D_4$	24	0	$[ 0; 2, 4, 6 ]$
2.48-29.0.2-3-8.2	2	$\GL(2,3)$	48	0	$[ 0; 2, 3, 8 ]$
2.48-29.0.2-3-8.1	2	$\GL(2,3)$	48	0	$[ 0; 2, 3, 8 ]$