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 55 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
12.10-2.0.5-5-5-10-10.13	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.2	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.3	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.4	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.5	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.6	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.7	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.8	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.9	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.10	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.11	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.12	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.1	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.14	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.15	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.16	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.17	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.18	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.19	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.20	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,2,3,4,5)(6,7,8,9,10),\ldots$
12.10-2.0.5-5-5-10-10.21	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.22	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.23	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.24	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.25	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.26	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.27	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.28	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.29	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.30	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.31	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.32	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,3,5,2,4)(6,8,10,7,9),\ldots$
12.10-2.0.5-5-5-10-10.33	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,4,2,5,3)(6,9,7,10,8),\ldots$
12.10-2.0.5-5-5-10-10.34	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,4,2,5,3)(6,9,7,10,8),\ldots$
12.10-2.0.5-5-5-10-10.35	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,4,2,5,3)(6,9,7,10,8),\ldots$
12.10-2.0.5-5-5-10-10.36	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,4,2,5,3)(6,9,7,10,8),\ldots$
12.10-2.0.5-5-5-10-10.37	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,4,2,5,3)(6,9,7,10,8),\ldots$
12.10-2.0.5-5-5-10-10.38	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,4,2,5,3)(6,9,7,10,8),\ldots$
12.10-2.0.5-5-5-10-10.39	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,5,4,3,2)(6,10,9,8,7),\ldots$
12.10-2.0.5-5-5-10-10.40	$12$	$0$	$C_{10}$	$10$	$2$	$[ 0; 5, 5, 5, 10, 10 ]$	$(1,5,4,3,2)(6,10,9,8,7),\ldots$
12.10-2.0.2-2-2-10-10-10.3	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 2, 10, 10, 10 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-5-5-5-5.2	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 5, 5, 5, 5 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-5-5-5-5.3	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 5, 5, 5, 5 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-5-5-5-5.4	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 5, 5, 5, 5 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-5-5-5-5.5	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 5, 5, 5, 5 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-5-5-5-5.6	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 5, 5, 5, 5 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-5-5-5-5.7	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 5, 5, 5, 5 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-2-10-10-10.1	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 2, 10, 10, 10 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-2-10-10-10.2	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 2, 10, 10, 10 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$
12.10-2.0.2-2-2-10-10-10.4	$12$	$0$	$C_{10}$	$10$	$3$	$[ 0; 2, 2, 2, 10, 10, 10 ]$	$(1,6)(2,7)(3,8)(4,9)(5,10),\ldots$

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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.