engleski

On Mordell-Weil groups of elliptic curves induced by Diophantine triples

We study the possible structure of the groups of rational points on elliptic curves of the form y^2=(ax+1)(bx+1)(cx+1), where a, b, c are non-zero rationals such that the product of any two of them is one less than a square.

Elliptic curves; Diophantine triples; rank; torsion group

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