A criterion to rule out torsion groups for elliptic curves over number fields
type: Item
instance of: scholarly article
title: A criterion to rule out torsion groups for elliptic curves over number fields
zbMATH Open document ID: 1408.11053
author: Peter Bruin
author: Filip Najman
published in: Research in Number Theory
publication date: 2016-05-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/1505.01564
full work available at URL: http://hdl.handle.net/1721.1/106205
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 6581023
zbMATH Keywords: elliptic curves
zbMATH Keywords: torsion groups
zbMATH Keywords: quartic fields
Wikidata QID: Q59479697
describes a project that uses: Magma
MaRDI profile type: Publication
OpenAlex ID: W1598030683
arXiv ID: 1505.01564
cites work: A linear lower bound on the gonality of modular curves
cites work: Néron Models
cites work: The Magma algebra system. I: The user language
cites work: Ranks of Elliptic Curves with Prescribed Torsion over Number Fields
cites work: Complete classification of torsion of elliptic curves over quadratic cyclotomic fields
cites work: Rational families of 17-torsion points of elliptic curves over number fields
cites work: Torsion points on elliptic curves over number fields of small degree
cites work: Gonality of the modular curve \(X_1(N)\)
cites work: Hyperelliptic modular curves
cites work: Bielliptic modular curves \(X_1(M,N)\)
cites work: On the arithmetic of certain modular curves
cites work: On the torsion of elliptic curves over cubic number fields
cites work: ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS
cites work: Torsion points on elliptic curves over all quadratic fields
cites work: Torsion points on elliptic curves over all quadratic fields. II
cites work: Torsion points on elliptic curves and \(q\)-coefficients of modular forms
cites work: Torsion groups of elliptic curves over quadratic fields
cites work: Q4831110
cites work: Galois properties of torsion points on abelian varieties
cites work: Torsion points on elliptic curves defined over quadratic fields
cites work: Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
cites work: Universal Bounds on the Torsion of Elliptic Curves
cites work: Modular curves and the Eisenstein ideal
cites work: Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
cites work: Points of order 13 on elliptic curves
cites work: Exceptional elliptic curves over quartic fields
cites work: Torsion of elliptic curves over cubic fields
cites work: Torsion of rational elliptic curves over cubic fields and sporadic points on \(X_1(n)\)
cites work: Torsion des courbes elliptiques sur les corps cubiques. (Torsion of elliptic curves over cubic fields)
cites work: No 17-torsion on elliptic curves over cubic number fields
cites work: The Arithmetic of Elliptic Curves
cites work: Abelian varieties over finite fields
DOI: 10.1007/S40993-015-0031-5
description: scientific article