Fields generated by torsion points of elliptic curves
type: Item
instance of: scholarly article
title: Fields generated by torsion points of elliptic curves
zbMATH Open document ID: 1409.11045
author: Andrea Bandini
author: Laura Paladino
published in: Journal of Number Theory
publication date: 2016-08-18T00:00:00Z
Mathematics Subject Classification ID: 11G05
Mathematics Subject Classification ID: 11F80
zbMATH DE Number: 6617924
zbMATH Keywords: elliptic curves
zbMATH Keywords: torsion points
zbMATH Keywords: Galois representations
MaRDI profile type: Publication
full work available at URL: j.jnt.2016.05.004
OpenAlex ID: W1599577791
cites work: The decomposition of primes in torsion point fields
cites work: Three-descent and the Birch and Swinnerton-Dyer conjecture
cites work: 3-Selmer groups for curves y 2 = x 3 + a
cites work: Number fields generated by the 3-torsion points of an elliptic curve
cites work: Local-global divisibility of rational points in some commutative algebraic groups
cites work: An analogue for elliptic curves of the Grunwald--Wang example.
cites work: Mod 4 Galois representations and elliptic curves
cites work: Arithmetic Moduli of Elliptic Curves. (AM-108)
cites work: On the surjectivity of Galois representations associated to elliptic curves over number fields
cites work: On the field of definition of \(p\)-torsion points on elliptic curves over the rationals
cites work: Elliptic curves with \(\mathbb Q({\mathcal E}[3])=\mathbb Q(\zeta_3)\) and counterexamples to local-global divisibility by 9
cites work: Local-global divisibility by 4 in elliptic curves defined over \(\mathbb Q\)
cites work: On the pre-image of a point under an isogeny and Siegel's theorem
cites work: How to do a 𝑝-descent on an elliptic curve
cites work: Galois properties of points of finite order of elliptic curves
cites work: Q5625265
cites work: Q4317891
DOI: 10.1016/J.JNT.2016.05.004
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description: scientific article; zbMATH DE number 6617924