An explicit height bound for the classical modular polynomial

DOI10.1007/s11139-010-9231-8zbMath1245.11079arXiv0909.3442OpenAlexW3105715658MaRDI QIDQ993487

Reinier Bröker, Andrew V. Sutherland

Publication date: 20 September 2010

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.3442

zbMATH Keywords

modular polynomialsheight bounds\(j\)-function

Mathematics Subject Classification ID

Heights (11G50)

Related Items

Upper bounds on the heights of polynomials and rational fractions from their values, On a simple model of \(X_0(N)\), Class polynomials for nonholomorphic modular functions, Degree and height estimates for modular equations on PEL Shimura varieties, Modular invariants and isogenies, Modular polynomials via isogeny volcanoes, On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average

Cites Work

• Explicit estimates for summatory functions linked to the Möbius \(\mu\)-function
• The evaluation of Ramanujan's sum and generalizations
• Computing modular polynomials in quasi-linear time
• A Remark on Stirling's Formula
• On the coefficients of the transformation polynomials for the elliptic modular function
• Modular polynomials via isogeny volcanoes
• Computing Modular Polynomials
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