Torsion Subgroups of CM Elliptic Curves over Odd Degree Number Fields:

DOI10.1093/imrn/rnw163zbMath1405.11072arXiv1601.00351OpenAlexW2963977072WikidataQ114092284 ScholiaQ114092284MaRDI QIDQ4612013

Abbey Bourdon, Paul Pollack

Publication date: 22 January 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.00351

zbMATH Keywords

elliptic curvescomplex multiplicationtorsion subgroups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (15)

Torsion for CM elliptic curves defined over number fields of degree 2𝑝 ⋮ Typically bounding torsion on elliptic curves with rational \(j\)-invariant ⋮ Torsion groups of elliptic curves over ℚ(μp∞) ⋮ Torsion growth over number fields of degree \(pq\) ⋮ Growth of torsion groups of elliptic curves upon base change from number fields ⋮ The least degree of a CM point on a modular curve ⋮ Abelian varieties isogenous to a power of an elliptic curve over a Galois extension ⋮ Torsion growth of rational elliptic curves in sextic number fields ⋮ Torsion points and isogenies on CM elliptic curves ⋮ \(\mathbb{Q}\)-curves over odd degree number fields ⋮ Explicit characterization of the torsion growth of rational elliptic curves with complex multiplication over quadratic fields ⋮ Acyclotomy of torsion in the CM case ⋮ Torsion points and Galois representations on CM elliptic curves ⋮ Cartan images and \(\ell \)-torsion points of elliptic curves with rational \(j\)-invariant ⋮ Torsion of elliptic curves with rational 𝑗-invariant defined over number fields of prime degree

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