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

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Results (1-50 of 78 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
12.26-2.0.13-26-26.72	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,13,12,11,10,9,8,7,6,5,4,3,2)(14,26,25,24,23,22,21,20,19,18,17,16,15),\ldots$
12.26-2.0.13-26-26.12	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12)(14,16,18,20,22,24,26,15,17,19,21,23,25),\ldots$
12.26-2.0.13-26-26.15	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11)(14,17,20,23,26,16,19,22,25,15,18,21,24),\ldots$
12.26-2.0.13-26-26.23	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,5,9,13,4,8,12,3,7,11,2,6,10)(14,18,22,26,17,21,25,16,20,24,15,19,23),\ldots$
12.26-2.0.13-26-26.30	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,6,11,3,8,13,5,10,2,7,12,4,9)(14,19,24,16,21,26,18,23,15,20,25,17,22),\ldots$
12.26-2.0.13-26-26.36	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,7,13,6,12,5,11,4,10,3,9,2,8)(14,20,26,19,25,18,24,17,23,16,22,15,21),\ldots$
12.26-2.0.13-26-26.38	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,8,2,9,3,10,4,11,5,12,6,13,7)(14,21,15,22,16,23,17,24,18,25,19,26,20),\ldots$
12.26-2.0.13-26-26.46	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,9,4,12,7,2,10,5,13,8,3,11,6)(14,22,17,25,20,15,23,18,26,21,16,24,19),\ldots$
12.26-2.0.13-26-26.54	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,10,6,2,11,7,3,12,8,4,13,9,5)(14,23,19,15,24,20,16,25,21,17,26,22,18),\ldots$
12.26-2.0.13-26-26.60	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,11,8,5,2,12,9,6,3,13,10,7,4)(14,24,21,18,15,25,22,19,16,26,23,20,17),\ldots$
12.26-2.0.13-26-26.61	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,12,10,8,6,4,2,13,11,9,7,5,3)(14,25,23,21,19,17,15,26,24,22,20,18,16),\ldots$
12.26-2.0.13-26-26.69	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,13,12,11,10,9,8,7,6,5,4,3,2)(14,26,25,24,23,22,21,20,19,18,17,16,15),\ldots$
12.26-2.0.13-26-26.66	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,12,10,8,6,4,2,13,11,9,7,5,3)(14,25,23,21,19,17,15,26,24,22,20,18,16),\ldots$
12.26-2.0.13-26-26.67	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,13,12,11,10,9,8,7,6,5,4,3,2)(14,26,25,24,23,22,21,20,19,18,17,16,15),\ldots$
12.26-2.0.13-26-26.68	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,13,12,11,10,9,8,7,6,5,4,3,2)(14,26,25,24,23,22,21,20,19,18,17,16,15),\ldots$
12.26-2.0.13-26-26.70	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,13,12,11,10,9,8,7,6,5,4,3,2)(14,26,25,24,23,22,21,20,19,18,17,16,15),\ldots$
12.26-2.0.13-26-26.71	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,13,12,11,10,9,8,7,6,5,4,3,2)(14,26,25,24,23,22,21,20,19,18,17,16,15),\ldots$
12.26-2.0.13-26-26.6	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18,19,20,21,22,23,24,25,26),\ldots$
12.26-2.0.13-26-26.1	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18,19,20,21,22,23,24,25,26),\ldots$
12.26-2.0.13-26-26.2	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18,19,20,21,22,23,24,25,26),\ldots$
12.26-2.0.13-26-26.3	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18,19,20,21,22,23,24,25,26),\ldots$
12.26-2.0.13-26-26.4	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18,19,20,21,22,23,24,25,26),\ldots$
12.26-2.0.13-26-26.5	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,2,3,4,5,6,7,8,9,10,11,12,13)(14,15,16,17,18,19,20,21,22,23,24,25,26),\ldots$
12.26-2.0.13-26-26.7	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12)(14,16,18,20,22,24,26,15,17,19,21,23,25),\ldots$
12.26-2.0.13-26-26.8	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12)(14,16,18,20,22,24,26,15,17,19,21,23,25),\ldots$
12.26-2.0.13-26-26.9	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12)(14,16,18,20,22,24,26,15,17,19,21,23,25),\ldots$
12.26-2.0.13-26-26.10	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12)(14,16,18,20,22,24,26,15,17,19,21,23,25),\ldots$
12.26-2.0.13-26-26.11	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,3,5,7,9,11,13,2,4,6,8,10,12)(14,16,18,20,22,24,26,15,17,19,21,23,25),\ldots$
12.26-2.0.13-26-26.13	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11)(14,17,20,23,26,16,19,22,25,15,18,21,24),\ldots$
12.26-2.0.13-26-26.14	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11)(14,17,20,23,26,16,19,22,25,15,18,21,24),\ldots$
12.26-2.0.13-26-26.16	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11)(14,17,20,23,26,16,19,22,25,15,18,21,24),\ldots$
12.26-2.0.13-26-26.17	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11)(14,17,20,23,26,16,19,22,25,15,18,21,24),\ldots$
12.26-2.0.13-26-26.18	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,4,7,10,13,3,6,9,12,2,5,8,11)(14,17,20,23,26,16,19,22,25,15,18,21,24),\ldots$
12.26-2.0.13-26-26.19	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,5,9,13,4,8,12,3,7,11,2,6,10)(14,18,22,26,17,21,25,16,20,24,15,19,23),\ldots$
12.26-2.0.13-26-26.20	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,5,9,13,4,8,12,3,7,11,2,6,10)(14,18,22,26,17,21,25,16,20,24,15,19,23),\ldots$
12.26-2.0.13-26-26.21	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,5,9,13,4,8,12,3,7,11,2,6,10)(14,18,22,26,17,21,25,16,20,24,15,19,23),\ldots$
12.26-2.0.13-26-26.22	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,5,9,13,4,8,12,3,7,11,2,6,10)(14,18,22,26,17,21,25,16,20,24,15,19,23),\ldots$
12.26-2.0.13-26-26.24	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,5,9,13,4,8,12,3,7,11,2,6,10)(14,18,22,26,17,21,25,16,20,24,15,19,23),\ldots$
12.26-2.0.13-26-26.25	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,6,11,3,8,13,5,10,2,7,12,4,9)(14,19,24,16,21,26,18,23,15,20,25,17,22),\ldots$
12.26-2.0.13-26-26.26	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,6,11,3,8,13,5,10,2,7,12,4,9)(14,19,24,16,21,26,18,23,15,20,25,17,22),\ldots$
12.26-2.0.13-26-26.27	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,6,11,3,8,13,5,10,2,7,12,4,9)(14,19,24,16,21,26,18,23,15,20,25,17,22),\ldots$
12.26-2.0.13-26-26.28	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,6,11,3,8,13,5,10,2,7,12,4,9)(14,19,24,16,21,26,18,23,15,20,25,17,22),\ldots$
12.26-2.0.13-26-26.29	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,6,11,3,8,13,5,10,2,7,12,4,9)(14,19,24,16,21,26,18,23,15,20,25,17,22),\ldots$
12.26-2.0.13-26-26.31	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,7,13,6,12,5,11,4,10,3,9,2,8)(14,20,26,19,25,18,24,17,23,16,22,15,21),\ldots$
12.26-2.0.13-26-26.32	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,7,13,6,12,5,11,4,10,3,9,2,8)(14,20,26,19,25,18,24,17,23,16,22,15,21),\ldots$
12.26-2.0.13-26-26.33	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,7,13,6,12,5,11,4,10,3,9,2,8)(14,20,26,19,25,18,24,17,23,16,22,15,21),\ldots$
12.26-2.0.13-26-26.34	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,7,13,6,12,5,11,4,10,3,9,2,8)(14,20,26,19,25,18,24,17,23,16,22,15,21),\ldots$
12.26-2.0.13-26-26.35	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,7,13,6,12,5,11,4,10,3,9,2,8)(14,20,26,19,25,18,24,17,23,16,22,15,21),\ldots$
12.26-2.0.13-26-26.37	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,8,2,9,3,10,4,11,5,12,6,13,7)(14,21,15,22,16,23,17,24,18,25,19,26,20),\ldots$
12.26-2.0.13-26-26.39	$12$	$0$	$C_{26}$	$26$	$0$	$[ 0; 13, 26, 26 ]$	$(1,8,2,9,3,10,4,11,5,12,6,13,7)(14,21,15,22,16,23,17,24,18,25,19,26,20),\ldots$

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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.