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
12.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	12	$C_2$	2	23	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3.4	12	$C_3$	3	11	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
12.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3.5	12	$C_3$	3	11	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
12.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3.1	12	$C_3$	3	11	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
12.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3.2	12	$C_3$	3	11	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
12.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3-3.3	12	$C_3$	3	11	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
12.4-1.0.4-4-4-4-4-4-4-4-4-4.2	12	$C_4$	4	7	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.4-4-4-4-4-4-4-4-4-4.4	12	$C_4$	4	7	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.4-4-4-4-4-4-4-4-4-4.3	12	$C_4$	4	7	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.4-4-4-4-4-4-4-4-4-4.1	12	$C_4$	4	7	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.4-4-4-4-4-4-4-4-4-4.5	12	$C_4$	4	7	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-4-4-4-4-4-4-4-4.4	12	$C_4$	4	8	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-4-4-4-4-4-4-4-4.1	12	$C_4$	4	8	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-4-4-4-4-4-4-4-4.2	12	$C_4$	4	8	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-4-4-4-4-4-4-4-4.3	12	$C_4$	4	8	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4.3	12	$C_4$	4	9	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4.2	12	$C_4$	4	9	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-2-2-2-4-4-4-4-4-4.1	12	$C_4$	4	9	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4.2	12	$C_4$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-2-2-2-2-2-2-4-4-4-4.1	12	$C_4$	4	10	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
12.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-4-4.1	12	$C_4$	4	11	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.7	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.8	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.9	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.10	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.11	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.12	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.13	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.14	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.15	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.16	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.17	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.19	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.20	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.21	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.22	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.23	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.24	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.25	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.28	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.26	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.27	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.18	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.2	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.3	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.4	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.5	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.6	12	$C_2^2$	4	12	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
12.5-1.0.5-5-5-5-5-5-5-5.11	12	$C_5$	5	5	$[ 0; 5, 5, 5, 5, 5, 5, 5, 5 ]$

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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.