Ordinary elliptic curves of high rank ov
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Claus Diem; Jasper Scholten
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Article
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2007
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Elsevier Science
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English
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We show that for all odd primes p, there exist ordinary elliptic curves over F p (x) with arbitrarily high rank and constant j -invariant. This shows in particular that there are elliptic curves with arbitrarily high rank over these fields for which the corresponding elliptic surface is not supersin