Geodesic
An elliptic curve having large integral points
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1101-1107 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The main purpose of this paper is to prove that the elliptic curve $E\colon y^2=x^3+27x-62$ has only the integral points $(x, y)=(2, 0)$ and $(28844402, \pm 154914585540)$, using elementary number theory methods and some known results on quadratic and quartic Diophantine equations.
The main purpose of this paper is to prove that the elliptic curve $E\colon y^2=x^3+27x-62$ has only the integral points $(x, y)=(2, 0)$ and $(28844402, \pm 154914585540)$, using elementary number theory methods and some known results on quadratic and quartic Diophantine equations.
Classification : 11D25
Keywords: elliptic curve; integral point; Diophantine equation 
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He, Yanfeng; Zhang, Wenpeng. An elliptic curve having large integral points. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 1101-1107. http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a18/

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