Skip to main content
Open Access Publications from the University of California

On the phi-Selmer groups of the elliptic curves y(2) = x(3) - Dx

  • Author(s): Kane, Daniel M
  • Thorne, Jack A
  • et al.

AbstractWe study the variation of the φ-Selmer groups of the elliptic curves y2 = x3 − Dx under quartic twists by square-free integers. We obtain a complete description of the distribution of the size of this group when the integer D is constrained to lie in a family for which the relative Tamagawa number of the isogeny φ is fixed.

Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.

Main Content
Current View