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A family of
elliptic curves of rank $\geq 4$
Farzali Izadi and Kamran Nabardi
Vol. 9 (2016), No. 5, 733–736
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Abstract |
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In this paper we consider a family of elliptic curves of the form , where is a primitive Pythagorean triple. First we show that the rank is positive. Then we construct a subfamily with rank . |
Keywords
elliptic curves, rank, Pythagorean triple
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Mathematical Subject Classification 2010
Primary: 11G05
Secondary: 14H52, 14G05
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Milestones
Received: 7 May 2014
Revised: 30 September 2015
Accepted: 1 October 2015
Published: 25 August 2016
Communicated by Ken Ono
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Authors |
| Farzali Izadi | |
| Department of Mathematics Urmia University Urmia Iran |
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| Kamran Nabardi | |
| Department of Mathematics Azarbaijan Shahid Madani University Tabriz Iran |
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