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 64 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
15.16-1.0.16-16-16-16.42	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,14,7,9,4,15,5,12,2,13,8,10,3,16,6,11),\ldots$
15.16-1.0.16-16-16-16.24	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.25	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.26	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.27	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14),\ldots$
15.16-1.0.16-16-16-16.28	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14),\ldots$
15.16-1.0.16-16-16-16.30	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14),\ldots$
15.16-1.0.16-16-16-16.32	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14),\ldots$
15.16-1.0.16-16-16-16.33	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14),\ldots$
15.16-1.0.16-16-16-16.34	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10),\ldots$
15.16-1.0.16-16-16-16.36	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10),\ldots$
15.16-1.0.16-16-16-16.37	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10),\ldots$
15.16-1.0.16-16-16-16.40	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15),\ldots$
15.16-1.0.16-16-16-16.41	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,14,7,9,4,15,5,12,2,13,8,10,3,16,6,11),\ldots$
15.16-1.0.16-16-16-16.4	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.5	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.17	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.19	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.29	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14),\ldots$
15.16-1.0.16-16-16-16.35	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,15,8,11,4,13,6,9,2,16,7,12,3,14,5,10),\ldots$
15.16-1.0.16-16-16-16.38	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15),\ldots$
15.16-1.0.16-16-16-16.7	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.8	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.10	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.12	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.13	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.13	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.20	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.20	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.21	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.23	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.31	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,11,6,16,3,10,8,13,2,12,5,15,4,9,7,14),\ldots$
15.16-1.0.16-16-16-16.39	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,10,5,14,3,12,7,16,2,9,6,13,4,11,8,15),\ldots$
15.16-1.0.16-16-16-16.1	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.2	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.3	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.6	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.9	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.11	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.14	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.15	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,9,5,13,3,11,7,15,2,10,6,14,4,12,8,16),\ldots$
15.16-1.0.16-16-16-16.16	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.18	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.16-16-16-16.22	$15$	$0$	$C_{16}$	$16$	$1$	$[ 0; 16, 16, 16, 16 ]$	$(1,13,7,10,4,16,5,11,2,14,8,9,3,15,6,12),\ldots$
15.16-1.0.2-2-8-16-16.2	$15$	$0$	$C_{16}$	$16$	$2$	$[ 0; 2, 2, 8, 16, 16 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
15.16-1.0.2-2-8-16-16.3	$15$	$0$	$C_{16}$	$16$	$2$	$[ 0; 2, 2, 8, 16, 16 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
15.16-1.0.2-2-8-16-16.4	$15$	$0$	$C_{16}$	$16$	$2$	$[ 0; 2, 2, 8, 16, 16 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
15.16-1.0.2-2-8-16-16.5	$15$	$0$	$C_{16}$	$16$	$2$	$[ 0; 2, 2, 8, 16, 16 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
15.16-1.0.2-2-8-16-16.6	$15$	$0$	$C_{16}$	$16$	$2$	$[ 0; 2, 2, 8, 16, 16 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
15.16-1.0.2-2-8-16-16.7	$15$	$0$	$C_{16}$	$16$	$2$	$[ 0; 2, 2, 8, 16, 16 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$

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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.