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

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

2007-05-14

arxiv.org/abs/0705.1875v1

Glas. Mat. Ser. III 42 (2007), 3-18.

Mathematics

Number Theory

17 pages; to appear in Glasnik Matematicki 42 (2007)

Scientific paper

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.

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