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 168 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
5.16-14.0.2-2-2-2-2.2	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.4	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.6	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.7	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.9	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.11	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.12	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.14	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.16	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.17	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.19	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.21	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.22	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.24	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.26	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.27	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.29	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.31	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.32	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.34	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.36	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.37	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.39	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.41	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.42	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.44	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.46	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.47	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.49	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.51	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.52	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.54	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.56	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,2)(3,4)(5,6)(7,8)(9,10)(11,12)(13,14)(15,16),\ldots$
5.16-14.0.2-2-2-2-2.57	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.59	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.61	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.62	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.64	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.66	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.67	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.69	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.71	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.72	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.74	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.76	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.77	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.79	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.81	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.82	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$
5.16-14.0.2-2-2-2-2.84	$5$	$0$	$C_2^4$	$16$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$	$(1,3)(2,4)(5,7)(6,8)(9,11)(10,12)(13,15)(14,16),\ldots$

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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.