@article {MATHEDUC.02360641,
author = {Bloms, Michelle and Brown, Lesley and Ellis, Larry and Farmer, Terence and Goward, Russell and Graham, Meridith Tara and Hulsen, David and Martin, Jeremy and McKinnie, Kelly and Neuerburg, Kent and Schoen, Keary and Terwilleger, Erin and Thompson, Nikki Janelle},
title = {Integer points on cubic twists of elliptic curves.},
year = {2004},
journal = {Pi Mu Epsilon Journal},
volume = {11},
number = {10},
issn = {0031-952X},
pages = {515-518},
publisher = {Worcester Polytechnic Institute (WPI), Mathematical Sciences, Worcester, MA},
abstract = {The problem of finding out whether a given integer $D$ may be written as the sum of two rational cubes $x^3+y^3=D$ is one of the oldest problems in number theory. In this paper, we conduct an experimental investigation into the frequency of $D$ which admit two distinct relatively prime solutions. We also evaluate this data against a hypothesis which does afford an explanation for why $D$ which admit three relatively prime solutions are quite rare, and why no $D$ has been found which may be expressed in four different ways as a sum of relatively prime cubes. (From the introduction)},
msc2010 = {F60xx},
identifier = {2004d.03404},
}