On the magnitude of integer points on elliptic curves

Publisher: Cambridge University Press

E-ISSN: 1755-1633|52|2|195-199

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.52, Iss.2, 1995-10, pp. : 195-199

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Abstract

The known effective bounds for the magnitude of integer points on elliptic curves are exponential in the “height” of curve. The bound given in this note is polynomial in the height and depends slightly on the discriminant.