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 76 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
15.24-9.0.4-4-6-6.5	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 4, 4, 6, 6 ]$	$(1,13,2,14)\cdots(11,23,12,24),\ldots$
15.24-9.0.4-4-6-6.6	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 4, 4, 6, 6 ]$	$(1,13,2,14)\cdots(11,23,12,24),\ldots$
15.24-9.0.4-4-6-6.7	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 4, 4, 6, 6 ]$	$(1,13,2,14)\cdots(11,23,12,24),\ldots$
15.24-9.0.4-4-6-6.8	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 4, 4, 6, 6 ]$	$(1,13,2,14)\cdots(11,23,12,24),\ldots$
15.24-9.0.4-4-6-6.11	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 4, 4, 6, 6 ]$	$(1,14,2,13)\cdots(11,24,12,23),\ldots$
15.24-9.0.4-4-6-6.12	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 4, 4, 6, 6 ]$	$(1,14,2,13)\cdots(11,24,12,23),\ldots$
15.24-9.0.4-4-6-6.13	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 4, 4, 6, 6 ]$	$(1,14,2,13)\cdots(11,24,12,23),\ldots$
15.24-9.0.4-4-6-6.14	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 4, 4, 6, 6 ]$	$(1,14,2,13)\cdots(11,24,12,23),\ldots$
15.24-9.0.3-4-6-12.1	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,3,5)\cdots(20,22,24),\ldots$
15.24-9.0.3-4-6-12.2	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,3,5)\cdots(20,22,24),\ldots$
15.24-9.0.3-4-6-12.3	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,3,5)\cdots(20,22,24),\ldots$
15.24-9.0.3-4-6-12.4	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,3,5)\cdots(20,22,24),\ldots$
15.24-9.0.3-4-6-12.5	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,3,5)\cdots(20,22,24),\ldots$
15.24-9.0.3-4-6-12.6	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,3,5)\cdots(20,22,24),\ldots$
15.24-9.0.3-4-6-12.7	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,3,5)\cdots(20,22,24),\ldots$
15.24-9.0.3-4-6-12.8	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,3,5)\cdots(20,22,24),\ldots$
15.24-9.0.3-4-6-12.9	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,5,3)\cdots(20,24,22),\ldots$
15.24-9.0.3-4-6-12.10	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,5,3)\cdots(20,24,22),\ldots$
15.24-9.0.3-4-6-12.11	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,5,3)\cdots(20,24,22),\ldots$
15.24-9.0.3-4-6-12.12	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,5,3)\cdots(20,24,22),\ldots$
15.24-9.0.3-4-6-12.13	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,5,3)\cdots(20,24,22),\ldots$
15.24-9.0.3-4-6-12.14	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,5,3)\cdots(20,24,22),\ldots$
15.24-9.0.3-4-6-12.15	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,5,3)\cdots(20,24,22),\ldots$
15.24-9.0.3-4-6-12.16	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 3, 4, 6, 12 ]$	$(1,5,3)\cdots(20,24,22),\ldots$
15.24-9.0.2-6-12-12.1	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,2)\cdots(23,24),\ldots$
15.24-9.0.2-6-12-12.2	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,2)\cdots(23,24),\ldots$
15.24-9.0.2-6-12-12.3	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,2)\cdots(23,24),\ldots$
15.24-9.0.2-6-12-12.4	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,2)\cdots(23,24),\ldots$
15.24-9.0.2-6-12-12.5	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,2)\cdots(23,24),\ldots$
15.24-9.0.2-6-12-12.6	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,2)\cdots(23,24),\ldots$
15.24-9.0.2-6-12-12.7	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,2)\cdots(23,24),\ldots$
15.24-9.0.2-6-12-12.8	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,2)\cdots(23,24),\ldots$
15.24-9.0.2-6-12-12.9	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.10	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.11	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.12	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.13	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.14	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.15	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.16	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.17	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.18	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.19	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.20	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.21	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.22	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.23	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.24	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,7)\cdots(18,24),\ldots$
15.24-9.0.2-6-12-12.25	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,8)\cdots(18,23),\ldots$
15.24-9.0.2-6-12-12.26	$15$	$0$	$C_2\times C_{12}$	$24$	$1$	$[ 0; 2, 6, 12, 12 ]$	$(1,8)\cdots(18,23),\ldots$

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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.