Constructing class invariants

DOI10.1090/S0025-5718-2013-02769-XzbMath1292.11125arXiv1203.4902MaRDI QIDQ5401710

Aristides I. Kontogeorgis

Publication date: 12 March 2014

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

Full work available at URL: https://arxiv.org/abs/1203.4902

zbMATH Keywords

class invariantShimura reciprocity

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Galois cohomology (11R34)

Related Items (1)

Revisiting the Complex Multiplication Method for the Construction of Elliptic Curves

Uses Software

• Magma

Cites Work

• Schläfli modular equations for generalized Weber functions
• Ramanujan's class invariants and their use in elliptic curve cryptography
• The Magma algebra system. I: The user language
• Class invariants by Shimura's reciprocity law
• RAMANUJAN INVARIANTS FOR DISCRIMINANTS CONGRUENT TO 5 (mod 24)
• Computing Polynomials of the Ramanujan t_n Class Invariants
• Writing representations over minimal fields
• On the singular values of Weber modular functions
• Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations
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