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dc.contributor.authorK. J. Manasa-
dc.contributor.authorB. R. Shankar-
dc.date.accessioned2024-02-27T05:56:56Z-
dc.date.available2024-02-27T05:56:56Z-
dc.date.issued2016-
dc.identifier.urihttp://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6321-
dc.description.abstractLet Em be the elliptic curve y2 = x3 a�� m, where m is a squarefree positive integer and a��m a�� 2, 3 (mod 4). Let Cl(K)[3] denote the 3-torsion subgroup of the ideal class group of the quadratic field K = Q( a�� a��m). Let S3 - y2 + mz2 = x3 be the Pell surface. We show that the collection of primitive integral points on S3 coming from the elliptic curve Em do not form a group with respect to the binary operation given by Hambleton and Lemmermeyer. We also show that there is a group homomorphism κ from rational points of Em to Cl(K)[3] using 3-descent on Em, whose kernel contains 3Em(Q). We also explain how our homomorphism κ, the homomorphism ψ of Hambleton and Lemmermeyer and the homomorphism φ of Soleng are related.-
dc.publisherJournal of the Ramanujan Mathematical Society-
dc.titlePell Surfaces and Elliptic Curves-
dc.volVol 31-
dc.issuedNo 1-
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