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 (39 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Generating vectors
13.14-2.0.14-14-14-14.11	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,11,7,10,6,9,5,8,4,14,3,13,2,12),\ldots$
13.14-2.0.14-14-14-14.3	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,9,3,11,5,13,7,8,2,10,4,12,6,14),\ldots$
13.14-2.0.14-14-14-14.6	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,9,3,11,5,13,7,8,2,10,4,12,6,14),\ldots$
13.14-2.0.14-14-14-14.5	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,9,3,11,5,13,7,8,2,10,4,12,6,14),\ldots$
13.14-2.0.14-14-14-14.12	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,11,7,10,6,9,5,8,4,14,3,13,2,12),\ldots$
13.14-2.0.14-14-14-14.1	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,9,3,11,5,13,7,8,2,10,4,12,6,14),\ldots$
13.14-2.0.14-14-14-14.2	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,9,3,11,5,13,7,8,2,10,4,12,6,14),\ldots$
13.14-2.0.14-14-14-14.4	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,9,3,11,5,13,7,8,2,10,4,12,6,14),\ldots$
13.14-2.0.14-14-14-14.7	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,9,3,11,5,13,7,8,2,10,4,12,6,14),\ldots$
13.14-2.0.14-14-14-14.8	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,9,3,11,5,13,7,8,2,10,4,12,6,14),\ldots$
13.14-2.0.14-14-14-14.9	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,11,7,10,6,9,5,8,4,14,3,13,2,12),\ldots$
13.14-2.0.14-14-14-14.10	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,11,7,10,6,9,5,8,4,14,3,13,2,12),\ldots$
13.14-2.0.14-14-14-14.13	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,11,7,10,6,9,5,8,4,14,3,13,2,12),\ldots$
13.14-2.0.14-14-14-14.14	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,13,4,9,7,12,3,8,6,11,2,14,5,10),\ldots$
13.14-2.0.14-14-14-14.16	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,13,4,9,7,12,3,8,6,11,2,14,5,10),\ldots$
13.14-2.0.14-14-14-14.17	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,10,5,14,2,11,6,8,3,12,7,9,4,13),\ldots$
13.14-2.0.14-14-14-14.18	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,10,5,14,2,11,6,8,3,12,7,9,4,13),\ldots$
13.14-2.0.14-14-14-14.15	$13$	$0$	$C_{14}$	$14$	$1$	$[ 0; 14, 14, 14, 14 ]$		$(1,13,4,9,7,12,3,8,6,11,2,14,5,10),\ldots$
13.14-2.0.2-2-7-14-14.1	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.2	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.3	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.4	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.5	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.6	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.7	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.8	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.9	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.10	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.11	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.12	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.13	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.14	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.15	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.16	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.17	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-7-14-14.18	$13$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 2, 7, 14, 14 ]$		$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-2-2-7-7.2	$13$	$0$	$C_{14}$	$14$	$3$	$[ 0; 2, 2, 2, 2, 7, 7 ]$	✓	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-2-2-7-7.1	$13$	$0$	$C_{14}$	$14$	$3$	$[ 0; 2, 2, 2, 2, 7, 7 ]$	✓	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
13.14-2.0.2-2-2-2-7-7.3	$13$	$0$	$C_{14}$	$14$	$3$	$[ 0; 2, 2, 2, 2, 7, 7 ]$	✓	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$

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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.