Generalised Weber functions

DOI10.4064/aa164-4-1zbMath1319.11039arXiv0905.3250OpenAlexW2014146028MaRDI QIDQ2875425

François Morain, Andreas Enge

Publication date: 14 August 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.3250

zbMATH Keywords

complex multiplicationclass invariantseta quotients

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15)

Related Items (5)

On some automorphic properties of Galois traces of class invariants from generalized Weber functions of level 5 ⋮ Constructing elliptic curves over finite fields using double eta-quotients ⋮ Short addition sequences for theta functions ⋮ Generalized class polynomials ⋮ An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative

Uses Software

• ECPP

Cites Work

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• Computing the cardinality of CM elliptic curves using torsion points
• Explicit elliptic units. I
• Weber's class invariants revisited
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• A taxonomy of pairing-friendly elliptic curves
• Constructing elliptic curves over finite fields using double eta-quotients
• On the `gap' in a theorem of Heegner
• The complexity of class polynomial computation via floating point approximations
• Elliptic Curves and Primality Proving
• Singular values of multiple eta-quotients for ramified primes
• Elliptic units of cyclic unramified extensions of complex quadratic fields
• Modular curves of composite level
• Bemerkungen zum Satz von Heegner-Stark über die imaginär-quadratischen Zahlkörper mit der Klassenzahl Eins.
• Weber's class invariants

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