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 71 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
12.14-2.0.7-7-14-14.1	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.2	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.4	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.5	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.6	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.7	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.8	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.9	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.10	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.11	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.12	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.13	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.14	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.15	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.19	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.21	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.22	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.23	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.24	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.25	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.26	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.27	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.31	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.32	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.33	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,3,5,7,2,4,6)(8,10,12,14,9,11,13),\ldots$
12.14-2.0.7-7-14-14.34	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,4,7,3,6,2,5)(8,11,14,10,13,9,12),\ldots$
12.14-2.0.7-7-14-14.35	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,4,7,3,6,2,5)(8,11,14,10,13,9,12),\ldots$
12.14-2.0.7-7-14-14.40	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,4,7,3,6,2,5)(8,11,14,10,13,9,12),\ldots$
12.14-2.0.7-7-14-14.41	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,4,7,3,6,2,5)(8,11,14,10,13,9,12),\ldots$
12.14-2.0.7-7-14-14.42	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,4,7,3,6,2,5)(8,11,14,10,13,9,12),\ldots$
12.14-2.0.7-7-14-14.43	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,4,7,3,6,2,5)(8,11,14,10,13,9,12),\ldots$
12.14-2.0.7-7-14-14.44	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,4,7,3,6,2,5)(8,11,14,10,13,9,12),\ldots$
12.14-2.0.7-7-14-14.45	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,4,7,3,6,2,5)(8,11,14,10,13,9,12),\ldots$
12.14-2.0.7-7-14-14.46	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,5,2,6,3,7,4)(8,12,9,13,10,14,11),\ldots$
12.14-2.0.7-7-14-14.48	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,5,2,6,3,7,4)(8,12,9,13,10,14,11),\ldots$
12.14-2.0.7-7-14-14.49	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,5,2,6,3,7,4)(8,12,9,13,10,14,11),\ldots$
12.14-2.0.7-7-14-14.50	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,5,2,6,3,7,4)(8,12,9,13,10,14,11),\ldots$
12.14-2.0.7-7-14-14.51	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,5,2,6,3,7,4)(8,12,9,13,10,14,11),\ldots$
12.14-2.0.7-7-14-14.52	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,5,2,6,3,7,4)(8,12,9,13,10,14,11),\ldots$
12.14-2.0.7-7-14-14.53	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,5,2,6,3,7,4)(8,12,9,13,10,14,11),\ldots$
12.14-2.0.7-7-14-14.54	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,5,2,6,3,7,4)(8,12,9,13,10,14,11),\ldots$
12.14-2.0.7-7-14-14.55	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,6,4,2,7,5,3)(8,13,11,9,14,12,10),\ldots$
12.14-2.0.7-7-14-14.56	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,6,4,2,7,5,3)(8,13,11,9,14,12,10),\ldots$
12.14-2.0.7-7-14-14.58	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,6,4,2,7,5,3)(8,13,11,9,14,12,10),\ldots$
12.14-2.0.7-7-14-14.59	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,6,4,2,7,5,3)(8,13,11,9,14,12,10),\ldots$
12.14-2.0.7-7-14-14.60	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,6,4,2,7,5,3)(8,13,11,9,14,12,10),\ldots$
12.14-2.0.7-7-14-14.62	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,7,6,5,4,3,2)(8,14,13,12,11,10,9),\ldots$
12.14-2.0.7-7-14-14.63	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,7,6,5,4,3,2)(8,14,13,12,11,10,9),\ldots$
12.14-2.0.7-7-14-14.3	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$
12.14-2.0.7-7-14-14.16	$12$	$0$	$C_{14}$	$14$	$1$	$[ 0; 7, 7, 14, 14 ]$	$(1,2,3,4,5,6,7)(8,9,10,11,12,13,14),\ldots$

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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.