Quadratic twists of elliptic curves with small Selmer rank
Sungkon Chang (2010)
Acta Arithmetica
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Displaying similar documents to “Ranks of quadratic twists of elliptic curves”
Quadratic twists of elliptic curves with small Selmer rank
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Seven elliptic curves of the form y = x + B x and having rank at least 8 are presented. To find them we use the double descent method of Tate. In particular we prove that the curve with B = 14752493461692 has rank exactly 8.
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