Glasnik matematički, Vol. 44 No. 1, 2009.
Original scientific paper
https://doi.org/10.3336/gm.44.1.04
Maximal ranks and integer points on a family of elliptic curves
P. G. Walsh
; Department of Mathematics, University of Ottawa, Ottawa, Canada
Abstract
We extend a result of Spearman which provides a sufficient condition for elliptic curves of the form y2 = x3 - px, with p a prime, to have Mordell-Weil rank 2. As in Spearman's work, the condition given here involves the existence of integer points on these curves.
Keywords
Hrčak ID:
36945
URI
Publication date:
21.5.2009.
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