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 140 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
14.29-1.0.29-29-29.2	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.3	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.4	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.5	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.6	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.7	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.8	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.9	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.10	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.11	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.12	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.13	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,2,3,4,5,6,7,8,9,10,\ldots),\ldots$
14.29-1.0.29-29-29.16	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.17	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.18	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.19	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.20	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.21	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.22	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.23	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.24	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.25	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.26	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,3,5,7,9,11,13,15,17,19,\ldots),\ldots$
14.29-1.0.29-29-29.29	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.30	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.31	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.32	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.33	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.34	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.35	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.36	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.37	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.39	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,4,7,10,13,16,19,22,25,28,\ldots),\ldots$
14.29-1.0.29-29-29.41	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.42	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.43	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.44	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.45	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.46	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.47	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.48	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.49	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,5,9,13,17,21,25,29,4,8,\ldots),\ldots$
14.29-1.0.29-29-29.52	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,6,11,16,21,26,2,7,12,17,\ldots),\ldots$
14.29-1.0.29-29-29.53	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,6,11,16,21,26,2,7,12,17,\ldots),\ldots$
14.29-1.0.29-29-29.54	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,6,11,16,21,26,2,7,12,17,\ldots),\ldots$
14.29-1.0.29-29-29.55	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,6,11,16,21,26,2,7,12,17,\ldots),\ldots$
14.29-1.0.29-29-29.56	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,6,11,16,21,26,2,7,12,17,\ldots),\ldots$
14.29-1.0.29-29-29.57	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,6,11,16,21,26,2,7,12,17,\ldots),\ldots$
14.29-1.0.29-29-29.59	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,6,11,16,21,26,2,7,12,17,\ldots),\ldots$
14.29-1.0.29-29-29.60	$14$	$0$	$C_{29}$	$29$	$0$	$[ 0; 29, 29, 29 ]$	$(1,6,11,16,21,26,2,7,12,17,\ldots),\ldots$

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Classical	Maass
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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.