What is your ``birthday elliptic curve?

DOI10.1016/j.ffa.2012.09.005zbMath1257.11058OpenAlexW2033184702WikidataQ121391711 ScholiaQ121391711MaRDI QIDQ690433

Heng Huat Chan, Elisavet Konstantinou, Chik How Tan, Aristides I. Kontogeorgis

Publication date: 27 November 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.09.005

zbMATH Keywords

elliptic curvecomplex multiplicationclass invariants

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Complex multiplication and moduli of abelian varieties (11G15) Algebraic number theory computations (11Y40) Class field theory (11R37)

Uses Software

• Magma

Cites Work

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• The Magma algebra system. I: The user language
• Cubic singular moduli, Ramanujan's class invariants \(\lambda_n\) and the explicit Shimura reciprocity law.
• Constructing elliptic curves of prime order
• Computing Polynomials of the Ramanujan t_n Class Invariants
• Ramanujan-Weber Class Invariant G _n And Watson's Empirical Process
• Ramanujan and the Modular j-Invariant

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