CLASS NUMBERS VIA 3-ISOGENIES AND ELLIPTIC SURFACES
Copyright policy )CLASS NUMBERS VIA 3-ISOGENIES AND ELLIPTIC SURFACES
We show that a character sum attached to a family of 3-isogenies defined on the fibers of a certain elliptic surface over š½p relates to the class number of the quadratic imaginary number field [Formula: see text]. In this sense, this provides a higher-dimensional analog of some recent class number formulas associated to 2-isogenies of elliptic curves.
- National Institute of Standards and Technology United States
- University of MichiganāFlint United States
- University of MichiganāAnn Arbor United States
Other character sums and Gauss sums, class number, Mathematics - Number Theory, Class numbers, class groups, discriminants, Curves over finite and local fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Mathematics - Algebraic Geometry, 11T24, FOS: Mathematics, elliptic surface, Number Theory (math.NT), character sum, Algebraic Geometry (math.AG), elliptic curve
Other character sums and Gauss sums, class number, Mathematics - Number Theory, Class numbers, class groups, discriminants, Curves over finite and local fields, Elliptic surfaces, elliptic or Calabi-Yau fibrations, Mathematics - Algebraic Geometry, 11T24, FOS: Mathematics, elliptic surface, Number Theory (math.NT), character sum, Algebraic Geometry (math.AG), elliptic curve
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