DEFINING EQUATIONS OF X1(2N)

DOI10.11568/kjm.2013.21.3.305OpenAlexW1966343298MaRDI QIDQ5016327

Daeyeol Jeon

Publication date: 13 December 2021

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2013.21.3.305

zbMATH Keywords

elliptic curvesmodular curvesdefining equations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18)

Cites Work

• Defining equations of modular curves
• Generators and defining equation of the modular function field of the group Γ₁(N)
• Families of elliptic curves over cubic number fields with prescribed torsion subgroups
• Equations for the modular curve 𝑋₁(𝑁) and models of elliptic curves with torsion points
• Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields
• Elliptic Curves

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