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https://doi.org/10.3336/gm.42.1.01

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

Andrej Dujella orcid id orcid.org/0000-0001-6867-5811 ; Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia


Puni tekst: engleski pdf 462 Kb

str. 3-18

preuzimanja: 872

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Sažetak

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.

Ključne riječi

Elliptic curves; rank, torsion group; Diophantine triple

Hrčak ID:

12874

URI

https://hrcak.srce.hr/12874

Datum izdavanja:

12.6.2007.

Posjeta: 1.657 *