Construction of elliptic curves with cyclic groups over prime fields

DOI10.1017/S000497270003882XzbMath1095.11031OpenAlexW2132726234MaRDI QIDQ5479047

Naoya Nakazawa

Publication date: 6 July 2006

Full work available at URL: https://doi.org/10.1017/s000497270003882x

zbMATH Keywords

elliptic curveMordell-Weil group

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Modular and automorphic functions (11F03) Elliptic curves (14H52)

Cites Work

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• Cyclicity and generation of points mod \(p\) on elliptic curves
• Counting points on elliptic curves over finite fields
• Computing the number of points on an elliptic curve over a finite field: algorithmic aspects

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