On primitive elements of algebraic function fields and models of \(X_0(N)\)

DOI10.1007/s11139-021-00423-wzbMath1490.11049arXiv1805.02112OpenAlexW3153060051MaRDI QIDQ2038987

Goran Muić, Iva Kodrnja

Publication date: 7 July 2021

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

Full work available at URL: https://arxiv.org/abs/1805.02112

zbMATH Keywords

primitive elementsmodular curvesmodular formsbirational equivalence

Mathematics Subject Classification ID

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

Related Items (2)

Hilbert's irreducibility, modular forms, and computation of certain Galois groups ⋮ On Higher Order Weierstrass Points on X0(N)

Uses Software

• SageMath

Cites Work

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• Computing primitive elements of extension fields
• On a simple model of \(X_0(N)\)
• Defining equations of modular curves \(X_ 0(N)\)
• On embeddings of modular curves in projective spaces
• Defining equations of modular curves
• An inequality for the discriminant of a polynomial
• Birational Maps of X(1) into P2
• Generators and equations for modular function fields of principal congruence subgroups
• Modular polynomials via isogeny volcanoes
• Modular Forms
• Hyperelliptic modular curves

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