Rank Distribution in a Family of Cubic Twists

@article{Watkins2005RankDI,
  title={Rank Distribution in a Family of Cubic Twists},
  author={M. Watkins},
  journal={arXiv: Number Theory},
  year={2005}
}
  • M. Watkins
  • Published 2005
  • Mathematics
  • arXiv: Number Theory
In 1987, Zagier and Kramarz published a paper in which they presented evidence that a positive proportion of the even-signed cubic twists of the elliptic curve $x^3+y^3=1$ should have positive rank. We extend their data, showing that it is more likely that the proportion goes to zero. 

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