Highly Influenced

# Rank distribution in a family of cubic twists

@inproceedings{Watkins2008RankDI, title={Rank distribution in a family of cubic twists}, author={Mark Watkins}, year={2008} }

- Published 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.