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 525 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Generating vectors
11.8-5.0.2-2-2-2-2-2-2-2-2.1	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.2	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.3	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.4	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.5	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.6	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.7	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.8	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.9	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.10	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.11	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.12	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.13	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.14	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.15	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.16	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.17	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.18	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.19	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.20	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.21	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.22	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.23	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.24	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.25	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.26	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.27	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.28	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.29	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.30	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.31	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.32	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.33	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.34	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.35	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.36	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.37	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.38	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.39	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.40	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.41	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.42	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.43	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.44	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.45	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.46	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.47	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.48	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.49	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
11.8-5.0.2-2-2-2-2-2-2-2-2.50	$11$	$0$	$C_2^3$	$8$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$

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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.