  This paper surveys the connection between the elliptic curve
  E_D: x^3 + y^3 = D
  and a certain metaplectic form on the cubic cover of GL(3) which has the
property that its m,n^{th} Whittaker--Fourier coefficient is essentially the
L--series of the curve E_{m^2n}. One may obtain information about the
collective behavior the curves E_D by exploiting this connection; for example,
one can prove:
  Theorem: Fix any prime p \ne 3, and any congruence class c mod p. Then there
are infinitely many D congruent to c mod p such that the curve E_D has no
rational solutions.
  This paper is fairly self-contained; no prior knowledge of algebraic number
theory, analytic number theory or metaplectic forms is assumed. On the other
hand, this paper is a survey, no proofs are included.
