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On Elliptic Curves Via Heron Triangles and Diophantine Triples
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نویسنده
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ایزدی فرضعلی ,خوشنام فواد
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منبع
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journal of mathematical extension - 2014 - دوره : 8 - شماره : 3 - صفحه:17 -26
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چکیده
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In this article, we construct families of elliptic curves arisingfrom the heron triangles and diophantine triples with the mordell-weiltorsion subgroup of z/2z × z/2z. these families have ranks at least2 and 3, respectively, and contain particular examples with rank equalto 7.
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کلیدواژه
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Diophantine triple ,elliptic curve ,family of elliptic curves ,the Heron triangle ,specialization ,rank ,torsion group
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آدرس
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azarbaijan shahid madani university, ایران, azarbaijan shahid madani university, ایران
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Authors
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