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.
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| Veröffentlicht in: | Integers (Berlin, Germany) Germany), 2011-10, Vol.11 (5), p.589-595 |
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| container_end_page | 595 |
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| container_issue | 5 |
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| container_title | Integers (Berlin, Germany) |
| container_volume | 11 |
| creator | Reinholz, Lindsey Spearman, Blair K. Yang, Qiduan |
| description | 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. |
| doi_str_mv | 10.1515/integ.2011.043 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 1867-0652 |
| ispartof | Integers (Berlin, Germany), 2011-10, Vol.11 (5), p.589-595 |
| issn | 1867-0652 |
| language | eng |
| recordid | cdi_crossref_primary_10_1515_integ_2011_043 |
| source | EZB-FREE-00999 freely available EZB journals; De Gruyter journals |
| subjects | Congruent Numbers Elliptic Curve Rank |
| title | On Congruent Numbers with Three Prime Factors |
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