On the cyclic torsion of elliptic curves over cubic number fields. II

DOI10.5802/jtnb.1100zbMath1477.11116arXiv2005.08180OpenAlexW3021348954MaRDI QIDQ2199511

Ji'an Wang

Publication date: 11 September 2020

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.08180

zbMATH Keywords

elliptic curvesmodular curvestorsion subgroup

Mathematics Subject Classification ID

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

Related Items

Sporadic cubic torsion, Modular curves over number fields and ECM

Cites Work

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• No 17-torsion on elliptic curves over cubic number fields
• Torsion of rational elliptic curves over cubic fields and sporadic points on \(X_1(n)\)
• Galois properties of torsion points on abelian varieties
• Hyperelliptic modular curves
• Modular curves and the Eisenstein ideal
• Curves with infinitely many points of fixed degree
• Torsion des courbes elliptiques sur les corps cubiques. (Torsion of elliptic curves over cubic fields)
• On the cyclic torsion of elliptic curves over cubic number fields
• Torsion points on elliptic curves and \(q\)-coefficients of modular forms
• Two theorems on modular curves
• Bounds for the torsion of elliptic curves over number fields
• Kroneckerian Model of Fields of Elliptic Modular Functions
• Torsion points on elliptic curves defined over quadratic fields
• Néron Models
• Diophantine equations and modular forms
• Schémas en groupes de type $(p,\ldots,p)$
• Universal Bounds on the Torsion of Elliptic Curves
• On the torsion of elliptic curves over cubic number fields
• Abelian varieties over finite fields
• Group schemes of prime order