Constructing elliptic curves over finite fields using double eta-quotients
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Publication:2483709
DOI10.5802/jtnb.460zbMath1072.11039OpenAlexW2019135503MaRDI QIDQ2483709
Reinhard Schertz, Andreas Enge
Publication date: 26 July 2005
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_2004__16_3_555_0
Complex multiplication and moduli of abelian varieties (11G15) Dedekind eta function, Dedekind sums (11F20)
Related Items (13)
Explicit computations in Iwasawa theory ⋮ Singular values of some modular functions ⋮ Computing Hilbert Class Polynomials ⋮ Modular polynomials via isogeny volcanoes ⋮ Number of class polynomials of multiple eta-quotients with odd level ⋮ The complexity of class polynomial computation via floating point approximations ⋮ Computing modular polynomials in quasi-linear time ⋮ Ramanujan's class invariants and their use in elliptic curve cryptography ⋮ p-adic class invariants ⋮ Short addition sequences for theta functions ⋮ Unnamed Item ⋮ Generalized class polynomials ⋮ Generalised Weber functions
Uses Software
Cites Work
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- Generalised Weber functions
- Elliptic Curves and Primality Proving
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