Rank distribution in a family of cubic twists

@inproceedings{Watkins2008RankDI,
  title={Rank distribution in a family of cubic twists},
  author={Mark Watkins},
  year={2008}
}
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 X0(27) should have positive rank. We extend their data, showing that it is more likely that the proportion goes to zero. 

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