Typically bounding torsion on elliptic curves isogenous to rational 𝑗-invariant

DOI10.1090/proc/16298OpenAlexW4304944601MaRDI QIDQ5880226

Tyler Genao

Publication date: 7 March 2023

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11566

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Cites Work

• Anatomy of torsion in the CM case
• On uniform lower bound of the Galois images associated to elliptic curves
• Serre's modularity conjecture. I
• Serre's modularity conjecture. II
• The fractional parts of the Bernoulli numbers
• Pursuing polynomial bounds on torsion
• Typically bounding torsion
• Bounds for the torsion of elliptic curves over number fields
• Typically bounding torsion on elliptic curves with rational \(j\)-invariant
• \(\mathbb{Q}\)-curves over odd degree number fields
• Galois properties of points of finite order of elliptic curves
• The Arithmetic of Elliptic Curves
• Determinants of subquotients of Galois representations associated with abelian varieties
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