School of Mathematics, Institute for Advanced Study, Princeton, New Jersey 08540 USA;Department of Computer Science, University of Wyoming, Laramie, Wyoming 82071 USA;University School, University of Wyoming, Laramie, Wyoming 82071 USA
Abstract:
The intersection of cords and tangents with the curve Y2 = X3 + k is exploited to locate additional lattice points and to define the Thue rank of the curve.