# 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} }

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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