LMFDB - Families of Higher Genus Curves with Automorphisms Search Results

Results (displaying matches 1-50 of at least 1000) Next

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	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.3	10	$C_3$	3	9	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.1	10	$C_3$	3	9	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.2	10	$C_3$	3	9	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.4	10	$C_3$	3	9	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.5	10	$C_3$	3	9	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.4-1.0.2-4-4-4-4-4-4-4-4.1	10	$C_4$	4	6	$[ 0; 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
10.4-1.0.2-4-4-4-4-4-4-4-4.3	10	$C_4$	4	6	$[ 0; 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
10.4-1.0.2-4-4-4-4-4-4-4-4.2	10	$C_4$	4	6	$[ 0; 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
10.4-1.0.2-4-4-4-4-4-4-4-4.4	10	$C_4$	4	6	$[ 0; 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
10.4-1.0.2-2-2-2-4-4-4-4-4-4.3	10	$C_4$	4	7	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
10.4-1.0.2-2-2-2-4-4-4-4-4-4.1	10	$C_4$	4	7	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
10.4-1.0.2-2-2-2-4-4-4-4-4-4.2	10	$C_4$	4	7	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
10.4-1.0.2-2-2-2-2-2-2-4-4-4-4.2	10	$C_4$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
10.4-1.0.2-2-2-2-2-2-2-4-4-4-4.1	10	$C_4$	4	8	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
10.4-1.0.2-2-2-2-2-2-2-2-2-2-4-4.1	10	$C_4$	4	9	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.6	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.5	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.10	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.15	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.8	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.3	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.13	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.19	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.11	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.14	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.4	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.9	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.1	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.17	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.20	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	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.21	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.2	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.18	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.12	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2.7	10	$C_2^2$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
10.5-1.0.5-5-5-5-5-5-5.11	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.22	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.1	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.10	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.24	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.18	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.6	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.17	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.8	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.14	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.3	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.13	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$
10.5-1.0.5-5-5-5-5-5-5.7	10	$C_5$	5	4	$[ 0; 5, 5, 5, 5, 5, 5, 5 ]$

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Introduction	Features
Universe	News

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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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.