Go Back Research Article March, 2021

On the Gaussian integer solutions for an elliptic Diophantine equation

Abstract

The quadratic Diophantine equation with two unknowns represented by an elliptic curve DE: 65J2+225 K2-230 JK = 1600 is analyzed for its non-zero separate solutions in Z[i]. We also gain a few formulae and reappearance relations on the Gaussian integer solutions (Jn Kn) of DE.

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Volume 20
Issue 5
Pages 815-822
ISSN 0974-6803