Parametric families of elliptic curves with cyclic \(\mathbb F_p\)-rational points groups

DOI10.3836/tjm/1244208196zbMath1171.11316OpenAlexW2049972889MaRDI QIDQ819505

Naoya Nakazawa

Publication date: 29 March 2006

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208196

zbMATH Keywords

elliptic cryptographyelliptic curves over number and finite fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20)

Cites Work

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• Cyclicity and generation of points mod \(p\) on elliptic curves
• Coverings of elliptic curves with complex multiplication by hyperelliptic curves and character sums
• The Diophantine equationy²= x(x²+ 21Dx+ 112D²)and the conjectures of Birch and Swinnerton-Dyer
• Certain Classical Congruences Via Elliptic Curves
• Group structure of elliptic curves over finite fields.

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