Elliptic curve of rank at least 4 over $${\mathbb {Q}}(k)$$ Q ( k ) with torsion point of order 4

Ahmed El Amine Youmbai ()
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Ahmed El Amine Youmbai: University of El Oued

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 2, 463-468

Abstract: Abstract By searching for good quadratic sections, we construct a new example of an elliptic curve over function field $${\mathbb {Q}}(k)$$ Q ( k ) with rank at least 4 containing a torsion point of order four.

Keywords: Elliptic Curves; Rank; Torsion Point; 11G05; 14H52 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00380-8

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