Glasnik matematički, Vol. 42 No. 1, 2007.
Original scientific paper
https://doi.org/10.3336/gm.42.1.01
On Mordell-Weil groups of elliptic curves induced by Diophantine triples
Andrej Dujella
orcid.org/0000-0001-6867-5811
; Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia
Abstract
We study the possible structure of the groups of rational points on elliptic curves of the form y2 = (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.
Keywords
Elliptic curves; rank, torsion group; Diophantine triple
Hrčak ID:
12874
URI
Publication date:
12.6.2007.
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