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 (48 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
10.36-8.0.3-12-12.1	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,3,5)\cdots(32,34,36),\ldots$
10.36-8.0.3-12-12.2	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,3,5)\cdots(32,34,36),\ldots$
10.36-8.0.3-12-12.3	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,3,5)\cdots(32,34,36),\ldots$
10.36-8.0.3-12-12.4	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,3,5)\cdots(32,34,36),\ldots$
10.36-8.0.3-12-12.5	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,3,5)\cdots(32,34,36),\ldots$
10.36-8.0.3-12-12.6	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,3,5)\cdots(32,34,36),\ldots$
10.36-8.0.3-12-12.7	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,5,3)\cdots(32,36,34),\ldots$
10.36-8.0.3-12-12.8	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,5,3)\cdots(32,36,34),\ldots$
10.36-8.0.3-12-12.9	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,5,3)\cdots(32,36,34),\ldots$
10.36-8.0.3-12-12.10	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,5,3)\cdots(32,36,34),\ldots$
10.36-8.0.3-12-12.11	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,5,3)\cdots(32,36,34),\ldots$
10.36-8.0.3-12-12.12	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,5,3)\cdots(32,36,34),\ldots$
10.36-8.0.3-12-12.13	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,7,13)\cdots(24,30,36),\ldots$
10.36-8.0.3-12-12.14	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,7,13)\cdots(24,30,36),\ldots$
10.36-8.0.3-12-12.15	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,7,13)\cdots(24,30,36),\ldots$
10.36-8.0.3-12-12.16	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,7,13)\cdots(24,30,36),\ldots$
10.36-8.0.3-12-12.17	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,7,13)\cdots(24,30,36),\ldots$
10.36-8.0.3-12-12.18	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,7,13)\cdots(24,30,36),\ldots$
10.36-8.0.3-12-12.19	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,13,7)\cdots(24,36,30),\ldots$
10.36-8.0.3-12-12.20	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,13,7)\cdots(24,36,30),\ldots$
10.36-8.0.3-12-12.21	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,13,7)\cdots(24,36,30),\ldots$
10.36-8.0.3-12-12.22	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,13,7)\cdots(24,36,30),\ldots$
10.36-8.0.3-12-12.23	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,13,7)\cdots(24,36,30),\ldots$
10.36-8.0.3-12-12.24	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,13,7)\cdots(24,36,30),\ldots$
10.36-8.0.3-12-12.25	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,9,17)\cdots(24,26,34),\ldots$
10.36-8.0.3-12-12.26	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,9,17)\cdots(24,26,34),\ldots$
10.36-8.0.3-12-12.27	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,9,17)\cdots(24,26,34),\ldots$
10.36-8.0.3-12-12.28	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,9,17)\cdots(24,26,34),\ldots$
10.36-8.0.3-12-12.29	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,9,17)\cdots(24,26,34),\ldots$
10.36-8.0.3-12-12.30	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,9,17)\cdots(24,26,34),\ldots$
10.36-8.0.3-12-12.31	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,17,9)\cdots(24,34,26),\ldots$
10.36-8.0.3-12-12.32	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,17,9)\cdots(24,34,26),\ldots$
10.36-8.0.3-12-12.33	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,17,9)\cdots(24,34,26),\ldots$
10.36-8.0.3-12-12.34	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,17,9)\cdots(24,34,26),\ldots$
10.36-8.0.3-12-12.35	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,17,9)\cdots(24,34,26),\ldots$
10.36-8.0.3-12-12.36	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,17,9)\cdots(24,34,26),\ldots$
10.36-8.0.3-12-12.37	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,11,15)\cdots(24,28,32),\ldots$
10.36-8.0.3-12-12.38	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,11,15)\cdots(24,28,32),\ldots$
10.36-8.0.3-12-12.39	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,11,15)\cdots(24,28,32),\ldots$
10.36-8.0.3-12-12.40	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,11,15)\cdots(24,28,32),\ldots$
10.36-8.0.3-12-12.41	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,11,15)\cdots(24,28,32),\ldots$
10.36-8.0.3-12-12.42	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,11,15)\cdots(24,28,32),\ldots$
10.36-8.0.3-12-12.43	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,15,11)\cdots(24,32,28),\ldots$
10.36-8.0.3-12-12.44	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,15,11)\cdots(24,32,28),\ldots$
10.36-8.0.3-12-12.45	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,15,11)\cdots(24,32,28),\ldots$
10.36-8.0.3-12-12.46	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,15,11)\cdots(24,32,28),\ldots$
10.36-8.0.3-12-12.47	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,15,11)\cdots(24,32,28),\ldots$
10.36-8.0.3-12-12.48	$10$	$0$	$C_3\times C_{12}$	$36$	$0$	$[ 0; 3, 12, 12 ]$	$(1,15,11)\cdots(24,32,28),\ldots$

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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.