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 105 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
12.13-1.0.13-13-13-13.11	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.14	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.17	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.19	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.22	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.37	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.39	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.42	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.45	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.57	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11),\ldots$
12.13-1.0.13-13-13-13.60	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11),\ldots$
12.13-1.0.13-13-13-13.63	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11),\ldots$
12.13-1.0.13-13-13-13.75	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,5,9,13,4,8,12,3,7,11,2,6,10),\ldots$
12.13-1.0.13-13-13-13.77	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,5,9,13,4,8,12,3,7,11,2,6,10),\ldots$
12.13-1.0.13-13-13-13.86	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,6,11,3,8,13,5,10,2,7,12,4,9),\ldots$
12.13-1.0.13-13-13-13.1	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.2	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.3	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.4	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.5	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.7	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.8	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.9	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.10	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.12	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.13	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.15	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.16	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.18	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.20	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.21	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.23	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.24	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.25	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.26	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.27	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.28	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13),\ldots$
12.13-1.0.13-13-13-13.29	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.30	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.31	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.32	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.34	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.35	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.36	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.38	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.40	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.41	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.43	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.44	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$
12.13-1.0.13-13-13-13.46	$12$	$0$	$C_{13}$	$13$	$1$	$[ 0; 13, 13, 13, 13 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12),\ldots$

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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.