Parallelopipeds of Positive Rank Twists of Elliptic Curves

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dc.contributor.authorIm, Bo-Haeko
dc.contributor.authorLarsen, Michaelko
dc.date.accessioned2016-10-04T02:59:09Z-
dc.date.available2016-10-04T02:59:09Z-
dc.date.created2016-09-07-
dc.date.created2016-09-07-
dc.date.issued2011-
dc.identifier.citationINDIANA UNIVERSITY MATHEMATICS JOURNAL, v.60, no.1, pp.311 - 318-
dc.identifier.issn0022-2518-
dc.identifier.urihttp://hdl.handle.net/10203/213014-
dc.description.abstractLet E be an elliptic curve over Q for which the set of quadratic twists with positive rank has positive density. Then for every n epsilon N there exists a w epsilon Q(x)/Q(x2) and an n-dimensional subspace V of Q(x)/Q(x2) such that for all v epsilon V, the quadratic twist E-vw has positive rank-
dc.languageEnglish-
dc.publisherINDIANA UNIV MATH JOURNAL-
dc.subjectQUADRATIC TWISTS-
dc.titleParallelopipeds of Positive Rank Twists of Elliptic Curves-
dc.typeArticle-
dc.identifier.wosid000303134000014-
dc.identifier.scopusid2-s2.0-84859732598-
dc.type.rimsART-
dc.citation.volume60-
dc.citation.issue1-
dc.citation.beginningpage311-
dc.citation.endingpage318-
dc.citation.publicationnameINDIANA UNIVERSITY MATHEMATICS JOURNAL-
dc.identifier.doi10.1512/iumj.2011.60.4398-
dc.contributor.localauthorIm, Bo-Hae-
dc.contributor.nonIdAuthorLarsen, Michael-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorelliptic curve-
dc.subject.keywordAuthorMordell-Weil group-
dc.subject.keywordAuthorpositive rank-
dc.subject.keywordAuthorquadratic twist-
dc.subject.keywordPlusQUADRATIC TWISTS-
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