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https://doi.org/10.3336/gm.44.1.04

Maximal ranks and integer points on a family of elliptic curves

P. G. Walsh ; Department of Mathematics, University of Ottawa, Ottawa, Canada


Puni tekst: engleski pdf 88 Kb

str. 83-87

preuzimanja: 434

citiraj


Sažetak

We extend a result of Spearman which provides a sufficient condition for elliptic curves of the form y2 = x3 - px, with p a prime, to have Mordell-Weil rank 2. As in Spearman's work, the condition given here involves the existence of integer points on these curves.

Ključne riječi

Elliptic curve; prime number

Hrčak ID:

36945

URI

https://hrcak.srce.hr/36945

Datum izdavanja:

21.5.2009.

Posjeta: 869 *