On degrees and birationality of the maps \(X_0(N)\to \mathbb P^2\) constructed via modular forms

DOI10.1007/s00605-016-0908-yzbMath1372.11057OpenAlexW2343413558MaRDI QIDQ530754

Goran Muić

Publication date: 1 August 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-016-0908-y

zbMATH Keywords

modular curvesmodular formsmodular polynomialbirational equivalence

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Relations with algebraic geometry and topology (11F23)

Related Items

On a simple model of \(X_0(N)\), Hilbert's irreducibility, modular forms, and computation of certain Galois groups, On Higher Order Weierstrass Points on X0(N), Eta-quotients and embeddings of \(X_0(N)\) in the projective plane, On primitive elements of algebraic function fields and models of \(X_0(N)\)

Uses Software

• Magma
• SageMath

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modular curves and bases for the spaces of cuspidal modular forms
• The Magma algebra system. I: The user language
• On embeddings of modular curves in projective spaces
• Defining equations of modular curves
• Birational Maps of X(1) into P2
• Basic Algebraic Geometry 1
• Modular polynomials via isogeny volcanoes
• Modular Forms