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Bandini, Andrea

3-Selmer groups for curves \(y^2=x^3+a\). (English) Zbl 1174.11048

Czech. Math. J. 58, No. 2, 429-445 (2008).
Summary: We explicitly perform some steps of a 3-descent algorithm for the curves \(y^2=x^3+a\), \(a\) a nonzero integer. In general this will enable us to bound the order of the 3-Selmer group of such curves.

Cited in 3 Documents

MSC:

11G05 Elliptic curves over global fields

Keywords:

elliptic curves; Selmer groups
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\textit{A. Bandini}, Czech. Math. J. 58, No. 2, 429--445 (2008; Zbl 1174.11048)
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References:

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