Computations of the rank of elliptic curve \(y^ 2=x^ 3-n^ 2x\) (Q1340361)
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scientific article; zbMATH DE number 701472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Computations of the rank of elliptic curve \(y^ 2=x^ 3-n^ 2x\) |
scientific article; zbMATH DE number 701472 |
Statements
Computations of the rank of elliptic curve \(y^ 2=x^ 3-n^ 2x\) (English)
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19 December 1994
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In this paper the rank of the elliptic curve \(y^ 2 = x^ 3 - n^ 2x\) \((n\) is a square free integer) for \(n < 1000\), and the order of the Hasse-Weil function, for \(n < 30000\), are computed. For this purpose, the authors utilize programs written in UBASIC that apply the methods given by \textit{J. S. Chahal} in ``Topics in number theory'' [Univ. Ser. Math. (New York 1988; Zbl 0711.11001)], and by \textit{J. E. Cremona} in ``Algorithms for modular elliptic curves'' (Cambridge 1992; Zbl 0758.14042).
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rank of elliptic curve
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order of the Hasse-Weil function
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0.95458376
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0.9534066
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0.95199555
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0.9470006
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0.9424386
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0.94097793
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