On Congruent Numbers with Three Prime Factors

A method is given for constructing congruent numbers with three prime factors of the form 8 + 3. A family of such numbers is given for which the Mordell–Weil rank of their associated elliptic curves equals 2, the maximal rank and expected rank for a congruent number curve of this type.

Bibliographische Detailangaben

Veröffentlicht in:	Integers (Berlin, Germany) Germany), 2011-10, Vol.11 (5), p.589-595
Hauptverfasser:	Reinholz, Lindsey, Spearman, Blair K., Yang, Qiduan
Format:	Artikel
Sprache:	eng
Schlagworte:	Congruent Numbers Elliptic Curve Rank
Online-Zugang:	Volltext
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