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 78 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
15.9-1.0.3-9-9-9-9-9.26	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.9	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.10	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.11	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.12	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.13	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.14	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.15	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.16	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.17	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.18	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.19	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.20	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.21	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.22	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.23	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.24	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.25	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.8	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.27	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.28	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.29	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.30	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,2,3)(4,5,6)(7,8,9),\ldots$
15.9-1.0.3-9-9-9-9-9.31	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.32	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.33	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.34	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.35	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.36	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.37	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.38	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.39	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.40	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.41	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.42	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.43	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.44	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.45	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.46	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.47	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.48	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.49	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.50	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.51	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.52	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.53	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.54	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.55	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.56	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$
15.9-1.0.3-9-9-9-9-9.57	$15$	$0$	$C_9$	$9$	$3$	$[ 0; 3, 9, 9, 9, 9, 9 ]$	$(1,3,2)(4,6,5)(7,9,8),\ldots$

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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.