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 (48 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
15.14-2.0.2-7-7-7-14.3	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.4	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.5	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.6	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.7	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.8	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.9	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.10	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.11	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.12	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.13	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.14	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.15	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.16	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.17	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.18	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.19	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.20	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.21	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.22	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.23	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.24	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.25	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.26	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.27	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.28	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.29	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.30	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.31	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.32	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.33	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.34	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.35	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.36	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.37	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.38	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.39	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.40	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.41	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.42	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.43	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.44	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.45	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.46	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.47	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.48	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.1	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$
15.14-2.0.2-7-7-7-14.2	$15$	$0$	$C_{14}$	$14$	$2$	$[ 0; 2, 7, 7, 7, 14 ]$	$(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)(7,14),\ldots$

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Overview	Random
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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.