Anatomy of torsion in the CM case

DOI10.1007/s00209-016-1727-5zbMath1422.11139arXiv1506.00565OpenAlexW2963105895MaRDI QIDQ522020

Paul Pollack, Abbey Bourdon, Pete L. Clark

Publication date: 12 April 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00565

zbMATH Keywords

torsion subgroupCM elliptic curves

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (9)

Typically bounding torsion on elliptic curves isogenous to rational 𝑗-invariant ⋮ Torsion for CM elliptic curves defined over number fields of degree 2𝑝 ⋮ Typically bounding torsion on elliptic curves with rational \(j\)-invariant ⋮ Galois representations attached to elliptic curves with complex multiplication ⋮ On somep‐adic Galois representations and form class groups ⋮ The least degree of a CM point on a modular curve ⋮ Torsion points and isogenies on CM elliptic curves ⋮ Typically bounding torsion ⋮ Torsion points and Galois representations on CM elliptic curves

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