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Integer points on the curve
Authors:Konstantinos A Draziotis
Institution:42 G. Passalidi St., Thessaloniki 54453, Greece
Abstract:We completely solve diophantine equations of the form $ Y^{2}=X^{3}\pm p^{k}X, $ where $ k$ is a positive integer, using a reduction to some quartic elliptic equations, which can be solved with well known methods.

Keywords:Elliptic curve  2-torsion point  unramified morphism  Pell equation  
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