BOUNDS FOR THE TORSION OF ELLIPTIC CURVES OVER EXTENSIONS WITH BOUNDED RAMIFICATION

DOI10.1142/S1793042110003514zbMath1200.14059MaRDI QIDQ3162626

Álvaro Lozano-Robledo, Benjamin Lundell

Publication date: 20 October 2010

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesboundstorsion subgroupsemi-stable

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (3)

On the field of definition of \(p\)-torsion points on elliptic curves over the rationals ⋮ Uniform boundedness in terms of ramification ⋮ Elliptic curves with maximally disjoint division fields

Cites Work

• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• Torsion points on elliptic curves and \(q\)-coefficients of modular forms
• Bounds for the torsion of elliptic curves over number fields
• Galois properties of points of finite order of elliptic curves
• Torsion subgroups of elliptic curves in elementary abelian 2-extensions of \(\mathbb Q\)
• Torsion points on elliptic curves defined over quadratic fields

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