A note on factorisation patterns of division polynomials of elliptic curves over finite fields

DOI10.3792/pjaa.99.011OpenAlexW4387327415MaRDI QIDQ6187421

Daniel Sadornil, Juan Tena, Javier Valera, Josep M. Miret Biosca

Publication date: 15 January 2024

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.99.011

zbMATH Keywords

finite fieldelliptic curvedivision polynomialfactorisation pattern

Mathematics Subject Classification ID

Elliptic curves (14H52) Polynomials over finite fields (11T06)

Cites Work

• On the \({\ell}\)-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\)
• Factorisation patterns of division polynomials
• Computing the $\ell $-power torsion of an elliptic curve over a finite field
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