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 (36 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
13.28-2.0.14-28-28.1	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,4,5,8,9,12,13,2,3,6,7,10,11,14)(15,18,19,22,23,26,27,16,17,20,21,24,25,28),\ldots$
13.28-2.0.14-28-28.3	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,4,5,8,9,12,13,2,3,6,7,10,11,14)(15,18,19,22,23,26,27,16,17,20,21,24,25,28),\ldots$
13.28-2.0.14-28-28.4	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,4,5,8,9,12,13,2,3,6,7,10,11,14)(15,18,19,22,23,26,27,16,17,20,21,24,25,28),\ldots$
13.28-2.0.14-28-28.5	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,4,5,8,9,12,13,2,3,6,7,10,11,14)(15,18,19,22,23,26,27,16,17,20,21,24,25,28),\ldots$
13.28-2.0.14-28-28.7	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,8,13,6,11,4,9,2,7,14,5,12,3,10)(15,22,27,20,25,18,23,16,21,28,19,26,17,24),\ldots$
13.28-2.0.14-28-28.8	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,8,13,6,11,4,9,2,7,14,5,12,3,10)(15,22,27,20,25,18,23,16,21,28,19,26,17,24),\ldots$
13.28-2.0.14-28-28.9	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,8,13,6,11,4,9,2,7,14,5,12,3,10)(15,22,27,20,25,18,23,16,21,28,19,26,17,24),\ldots$
13.28-2.0.14-28-28.11	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,8,13,6,11,4,9,2,7,14,5,12,3,10)(15,22,27,20,25,18,23,16,21,28,19,26,17,24),\ldots$
13.28-2.0.14-28-28.14	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,12,7,4,13,10,5,2,11,8,3,14,9,6)(15,26,21,18,27,24,19,16,25,22,17,28,23,20),\ldots$
13.28-2.0.14-28-28.15	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,12,7,4,13,10,5,2,11,8,3,14,9,6)(15,26,21,18,27,24,19,16,25,22,17,28,23,20),\ldots$
13.28-2.0.14-28-28.16	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,12,7,4,13,10,5,2,11,8,3,14,9,6)(15,26,21,18,27,24,19,16,25,22,17,28,23,20),\ldots$
13.28-2.0.14-28-28.17	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,12,7,4,13,10,5,2,11,8,3,14,9,6)(15,26,21,18,27,24,19,16,25,22,17,28,23,20),\ldots$
13.28-2.0.14-28-28.19	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,6,9,14,3,8,11,2,5,10,13,4,7,12)(15,20,23,28,17,22,25,16,19,24,27,18,21,26),\ldots$
13.28-2.0.14-28-28.20	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,6,9,14,3,8,11,2,5,10,13,4,7,12)(15,20,23,28,17,22,25,16,19,24,27,18,21,26),\ldots$
13.28-2.0.14-28-28.21	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,6,9,14,3,8,11,2,5,10,13,4,7,12)(15,20,23,28,17,22,25,16,19,24,27,18,21,26),\ldots$
13.28-2.0.14-28-28.22	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,6,9,14,3,8,11,2,5,10,13,4,7,12)(15,20,23,28,17,22,25,16,19,24,27,18,21,26),\ldots$
13.28-2.0.14-28-28.25	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,10,3,12,5,14,7,2,9,4,11,6,13,8)(15,24,17,26,19,28,21,16,23,18,25,20,27,22),\ldots$
13.28-2.0.14-28-28.27	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,10,3,12,5,14,7,2,9,4,11,6,13,8)(15,24,17,26,19,28,21,16,23,18,25,20,27,22),\ldots$
13.28-2.0.14-28-28.28	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,10,3,12,5,14,7,2,9,4,11,6,13,8)(15,24,17,26,19,28,21,16,23,18,25,20,27,22),\ldots$
13.28-2.0.14-28-28.29	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,10,3,12,5,14,7,2,9,4,11,6,13,8)(15,24,17,26,19,28,21,16,23,18,25,20,27,22),\ldots$
13.28-2.0.14-28-28.31	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,14,11,10,7,6,3,2,13,12,9,8,5,4)(15,28,25,24,21,20,17,16,27,26,23,22,19,18),\ldots$
13.28-2.0.14-28-28.32	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,14,11,10,7,6,3,2,13,12,9,8,5,4)(15,28,25,24,21,20,17,16,27,26,23,22,19,18),\ldots$
13.28-2.0.14-28-28.33	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,14,11,10,7,6,3,2,13,12,9,8,5,4)(15,28,25,24,21,20,17,16,27,26,23,22,19,18),\ldots$
13.28-2.0.14-28-28.35	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,14,11,10,7,6,3,2,13,12,9,8,5,4)(15,28,25,24,21,20,17,16,27,26,23,22,19,18),\ldots$
13.28-2.0.14-28-28.2	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,4,5,8,9,12,13,2,3,6,7,10,11,14)(15,18,19,22,23,26,27,16,17,20,21,24,25,28),\ldots$
13.28-2.0.14-28-28.6	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,4,5,8,9,12,13,2,3,6,7,10,11,14)(15,18,19,22,23,26,27,16,17,20,21,24,25,28),\ldots$
13.28-2.0.14-28-28.10	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,8,13,6,11,4,9,2,7,14,5,12,3,10)(15,22,27,20,25,18,23,16,21,28,19,26,17,24),\ldots$
13.28-2.0.14-28-28.12	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,8,13,6,11,4,9,2,7,14,5,12,3,10)(15,22,27,20,25,18,23,16,21,28,19,26,17,24),\ldots$
13.28-2.0.14-28-28.13	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,12,7,4,13,10,5,2,11,8,3,14,9,6)(15,26,21,18,27,24,19,16,25,22,17,28,23,20),\ldots$
13.28-2.0.14-28-28.18	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,12,7,4,13,10,5,2,11,8,3,14,9,6)(15,26,21,18,27,24,19,16,25,22,17,28,23,20),\ldots$
13.28-2.0.14-28-28.23	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,6,9,14,3,8,11,2,5,10,13,4,7,12)(15,20,23,28,17,22,25,16,19,24,27,18,21,26),\ldots$
13.28-2.0.14-28-28.24	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,6,9,14,3,8,11,2,5,10,13,4,7,12)(15,20,23,28,17,22,25,16,19,24,27,18,21,26),\ldots$
13.28-2.0.14-28-28.26	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,10,3,12,5,14,7,2,9,4,11,6,13,8)(15,24,17,26,19,28,21,16,23,18,25,20,27,22),\ldots$
13.28-2.0.14-28-28.30	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,10,3,12,5,14,7,2,9,4,11,6,13,8)(15,24,17,26,19,28,21,16,23,18,25,20,27,22),\ldots$
13.28-2.0.14-28-28.34	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,14,11,10,7,6,3,2,13,12,9,8,5,4)(15,28,25,24,21,20,17,16,27,26,23,22,19,18),\ldots$
13.28-2.0.14-28-28.36	$13$	$0$	$C_{28}$	$28$	$0$	$[ 0; 14, 28, 28 ]$	$(1,14,11,10,7,6,3,2,13,12,9,8,5,4)(15,28,25,24,21,20,17,16,27,26,23,22,19,18),\ldots$

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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.