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 (32 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
14.15-1.0.15-15-15-15.18	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,8,15,2,9,11,3,10,12,4,6,13,5,7,14),\ldots$
14.15-1.0.15-15-15-15.19	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,8,15,2,9,11,3,10,12,4,6,13,5,7,14),\ldots$
14.15-1.0.15-15-15-15.1	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15),\ldots$
14.15-1.0.15-15-15-15.7	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15),\ldots$
14.15-1.0.15-15-15-15.8	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15),\ldots$
14.15-1.0.15-15-15-15.9	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,13,10,2,14,6,3,15,7,4,11,8,5,12,9),\ldots$
14.15-1.0.15-15-15-15.12	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,13,10,2,14,6,3,15,7,4,11,8,5,12,9),\ldots$
14.15-1.0.15-15-15-15.14	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,10,14,3,7,11,5,9,13,2,6,15,4,8,12),\ldots$
14.15-1.0.15-15-15-15.17	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,10,14,3,7,11,5,9,13,2,6,15,4,8,12),\ldots$
14.15-1.0.15-15-15-15.20	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,14,7,5,13,6,4,12,10,3,11,9,2,15,8),\ldots$
14.15-1.0.15-15-15-15.2	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15),\ldots$
14.15-1.0.15-15-15-15.10	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,13,10,2,14,6,3,15,7,4,11,8,5,12,9),\ldots$
14.15-1.0.15-15-15-15.15	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,10,14,3,7,11,5,9,13,2,6,15,4,8,12),\ldots$
14.15-1.0.15-15-15-15.3	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15),\ldots$
14.15-1.0.15-15-15-15.4	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15),\ldots$
14.15-1.0.15-15-15-15.5	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15),\ldots$
14.15-1.0.15-15-15-15.6	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15),\ldots$
14.15-1.0.15-15-15-15.11	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,13,10,2,14,6,3,15,7,4,11,8,5,12,9),\ldots$
14.15-1.0.15-15-15-15.13	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,13,10,2,14,6,3,15,7,4,11,8,5,12,9),\ldots$
14.15-1.0.15-15-15-15.16	$14$	$0$	$C_{15}$	$15$	$1$	$[ 0; 15, 15, 15, 15 ]$	$(1,10,14,3,7,11,5,9,13,2,6,15,4,8,12),\ldots$
14.15-1.0.3-3-5-5-5.2	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 5, 5, 5 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-5-5-5.3	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 5, 5, 5 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-5-5-5.4	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 5, 5, 5 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-3-5-15.3	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 3, 5, 15 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-3-5-15.8	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 3, 5, 15 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-3-5-15.1	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 3, 5, 15 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-3-5-15.2	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 3, 5, 15 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-3-5-15.4	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 3, 5, 15 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-3-5-15.5	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 3, 5, 15 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-3-5-15.6	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 3, 5, 15 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-3-5-15.7	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 3, 5, 15 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$
14.15-1.0.3-3-5-5-5.1	$14$	$0$	$C_{15}$	$15$	$2$	$[ 0; 3, 3, 5, 5, 5 ]$	$(1,6,11)(2,7,12)(3,8,13)(4,9,14)(5,10,15),\ldots$

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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.