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- W2321875349 abstract "In this work we consider constructions of genus 3 curves X such that End(Jac(X))⊗Q contains the totally real cubic number field Q(ζ7+ζ¯7). We construct explicit two-dimensional families defined over Q(s,t) whose generic member is a nonhyperelliptic genus 3 curve with this property. The case when X is hyperelliptic was studied in Hoffman and Wang (2013). We calculate the zeta function of one of these curves. Conjecturally this zeta function is described by a modular form." @default.
- W2321875349 created "2016-06-24" @default.
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- W2321875349 date "2016-05-01" @default.
- W2321875349 modified "2023-09-26" @default.
- W2321875349 title "Genus 3 curves whose Jacobians have endomorphisms by Q(ζ7+ζ¯7)" @default.
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- W2321875349 doi "https://doi.org/10.1016/j.jsc.2015.09.004" @default.
- W2321875349 hasPublicationYear "2016" @default.
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