LMFDB - Family of higher genus curves with automorphisms search results

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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 65 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
10.11-1.0.11-11-11-11.9	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.11	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.13	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.15	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.27	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.29	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.32	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.41	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.43	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.52	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,5,9,2,6,10,3,7,11,4,8),\ldots$
10.11-1.0.11-11-11-11.6	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.7	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.8	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.10	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.12	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.14	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.16	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.17	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.18	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.19	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.20	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
10.11-1.0.11-11-11-11.21	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.22	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.23	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.25	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.26	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.28	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.30	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.31	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.33	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.34	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.35	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,3,5,7,9,11,2,4,6,8,10),\ldots$
10.11-1.0.11-11-11-11.36	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.37	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.39	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.40	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.42	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.44	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.45	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.46	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,4,7,10,2,5,8,11,3,6,9),\ldots$
10.11-1.0.11-11-11-11.47	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,5,9,2,6,10,3,7,11,4,8),\ldots$
10.11-1.0.11-11-11-11.48	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,5,9,2,6,10,3,7,11,4,8),\ldots$
10.11-1.0.11-11-11-11.49	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,5,9,2,6,10,3,7,11,4,8),\ldots$
10.11-1.0.11-11-11-11.51	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,5,9,2,6,10,3,7,11,4,8),\ldots$
10.11-1.0.11-11-11-11.53	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,5,9,2,6,10,3,7,11,4,8),\ldots$
10.11-1.0.11-11-11-11.54	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,5,9,2,6,10,3,7,11,4,8),\ldots$
10.11-1.0.11-11-11-11.55	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,6,11,5,10,4,9,3,8,2,7),\ldots$
10.11-1.0.11-11-11-11.57	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,6,11,5,10,4,9,3,8,2,7),\ldots$
10.11-1.0.11-11-11-11.58	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,6,11,5,10,4,9,3,8,2,7),\ldots$
10.11-1.0.11-11-11-11.59	$10$	$0$	$C_{11}$	$11$	$1$	$[ 0; 11, 11, 11, 11 ]$	$(1,7,2,8,3,9,4,10,5,11,6),\ldots$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
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.