LMFDB - Family of higher genus curves with automorphisms search results

Note: Search results may be incomplete due to uncomputed quantities: cyclic_trigonal (6913 objects)

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Genus	Dimension of the family	Group order	Hyperelliptic curves	Full automorphism group

Quotient genus	Signature	Group identifier	Cyclic trigonal curves

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Results (1-50 of 196 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.1	$10$	$0$	$C_3$	$3$	$9$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.3	$10$	$0$	$C_3$	$3$	$9$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.5	$10$	$0$	$C_3$	$3$	$9$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.4	$10$	$0$	$C_3$	$3$	$9$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3.2	$10$	$0$	$C_3$	$3$	$9$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$
10.6-2.0.3-3-3-3-3-6-6.6	$10$	$0$	$C_6$	$6$	$4$	$[ 0; 3, 3, 3, 3, 3, 6, 6 ]$
10.6-2.0.3-3-3-3-3-6-6.5	$10$	$0$	$C_6$	$6$	$4$	$[ 0; 3, 3, 3, 3, 3, 6, 6 ]$
10.6-2.0.3-3-3-3-3-6-6.4	$10$	$0$	$C_6$	$6$	$4$	$[ 0; 3, 3, 3, 3, 3, 6, 6 ]$
10.6-2.0.3-3-3-3-3-6-6.1	$10$	$0$	$C_6$	$6$	$4$	$[ 0; 3, 3, 3, 3, 3, 6, 6 ]$
10.6-2.0.3-3-3-3-3-6-6.3	$10$	$0$	$C_6$	$6$	$4$	$[ 0; 3, 3, 3, 3, 3, 6, 6 ]$
10.6-2.0.3-3-3-3-3-6-6.2	$10$	$0$	$C_6$	$6$	$4$	$[ 0; 3, 3, 3, 3, 3, 6, 6 ]$
10.6-2.0.2-2-3-3-3-3-3-3.3	$10$	$0$	$C_6$	$6$	$5$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3 ]$
10.6-2.0.2-2-3-3-3-3-3-3.2	$10$	$0$	$C_6$	$6$	$5$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3 ]$
10.6-2.0.2-2-3-3-3-3-3-3.1	$10$	$0$	$C_6$	$6$	$5$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3 ]$
10.6-1.0.2-2-3-3-3-3-3-3.1	$10$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.84	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.88	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.87	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.85	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.80	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.162	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.2	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.1	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.141	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.5	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.4	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.130	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.129	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.178	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.3	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.6	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.72	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.125	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.177	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.173	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.89	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.54	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.56	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.163	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.176	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.123	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.69	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.17	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.159	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.165	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.137	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.138	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.111	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.110	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$
10.9-2.0.3-3-3-3-3-3.153	$10$	$0$	$C_3^2$	$9$	$3$	$[ 0; 3, 3, 3, 3, 3, 3 ]$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
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Abelian varieties over $\F_{q}$

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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.