LMFDB - Family of higher genus curves with automorphisms search results

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Results (1-50 of 96 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
11.16-2.0.2-2-4-4-4.1	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.2	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.3	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.4	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.5	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.6	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.7	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.8	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.9	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.10	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.11	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.12	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.13	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.14	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.15	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.16	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.17	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.18	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.19	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.20	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.21	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.22	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.23	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.24	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.25	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.26	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.27	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.28	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.29	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.30	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.31	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.32	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.33	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.34	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.35	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.36	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.37	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.38	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.39	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.40	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.41	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.42	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.43	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.44	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.45	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.46	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.47	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.48	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
11.16-2.0.2-2-4-4-4.49	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
11.16-2.0.2-2-4-4-4.50	$11$	$0$	$C_4^2$	$16$	$2$	$[ 0; 2, 2, 4, 4, 4 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$

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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.