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 (45 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Generating vectors
14.10-2.0.2-5-5-5-5-10.1	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.2	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.3	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.4	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.5	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.6	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.7	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.8	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.9	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.10	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.11	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.12	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.13	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.14	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.15	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.16	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.17	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.18	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.19	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.20	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.21	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.22	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.23	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.24	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.25	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.26	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.27	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-5-5-5-5-10.28	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 5, 5, 5, 5, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-10-10-10-10.1	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 10, 10, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-10-10-10-10.2	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 10, 10, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-10-10-10-10.3	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 10, 10, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-10-10-10-10.4	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 10, 10, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-10-10-10-10.5	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 10, 10, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-10-10-10-10.6	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 10, 10, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-10-10-10-10.7	$14$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 10, 10, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-5-10-10.1	$14$	$0$	$C_{10}$	$10$	$4$	$[ 0; 2, 2, 2, 2, 5, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-5-10-10.2	$14$	$0$	$C_{10}$	$10$	$4$	$[ 0; 2, 2, 2, 2, 5, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-5-10-10.3	$14$	$0$	$C_{10}$	$10$	$4$	$[ 0; 2, 2, 2, 2, 5, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-5-10-10.4	$14$	$0$	$C_{10}$	$10$	$4$	$[ 0; 2, 2, 2, 2, 5, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-5-10-10.5	$14$	$0$	$C_{10}$	$10$	$4$	$[ 0; 2, 2, 2, 2, 5, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-5-10-10.6	$14$	$0$	$C_{10}$	$10$	$4$	$[ 0; 2, 2, 2, 2, 5, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-5-10-10.7	$14$	$0$	$C_{10}$	$10$	$4$	$[ 0; 2, 2, 2, 2, 5, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-5-10-10.8	$14$	$0$	$C_{10}$	$10$	$4$	$[ 0; 2, 2, 2, 2, 5, 10, 10 ]$		$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-2-2-5-5.1	$14$	$0$	$C_{10}$	$10$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 5, 5 ]$	✓	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
14.10-2.0.2-2-2-2-2-2-5-5.2	$14$	$0$	$C_{10}$	$10$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 5, 5 ]$	✓	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$

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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.