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On the evaluation of modular polynomials

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Publication:2949511
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DOI10.2140/obs.2013.1.531zbMath1344.11087arXiv1202.3985OpenAlexW3106357642WikidataQ64387960 ScholiaQ64387960MaRDI QIDQ2949511

Andrew V. Sutherland

Publication date: 1 October 2015

Published in: The Open Book Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.3985


zbMATH Keywords

elliptic curvesisogeniespoint countingSEA algorithm


Mathematics Subject Classification ID

Number-theoretic algorithms; complexity (11Y16) Curves over finite and local fields (11G20) Complex multiplication and moduli of abelian varieties (11G15)


Related Items (8)

Practical isogeny-based key-exchange with optimal tightness ⋮ Computational Number Theory, Past, Present, and Future ⋮ Accelerating the Delfs-Galbraith algorithm with fast subfield root detection ⋮ New examples of maximal curves with low genus ⋮ Constructing cycles in isogeny graphs of supersingular elliptic curves ⋮ Computing modular polynomials and isogenies of rank two Drinfeld modules over finite fields ⋮ Improved supersingularity testing of elliptic curves ⋮ Polynomials Defining Teichmüller Curves and Their Factorizations mod p


Uses Software

  • Magma
  • PARI/GP



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