Growth of torsion groups of elliptic curves upon base change (Q5216735)

scientific article; zbMATH DE number 7169750

Language	Label	Description	Also known as
English	Growth of torsion groups of elliptic curves upon base change	scientific article; zbMATH DE number 7169750

Statements

instance of

scholarly article

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title

Growth of torsion groups of elliptic curves upon base change (English)

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author

Enrique González-Jiménez

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Filip Najman

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published in

Mathematics of Computation

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publication date

18 February 2020

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full work available at URL

https://arxiv.org/abs/1609.02515

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zbMATH Keywords

elliptic curves

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torsion over number fields

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describes a project that uses

Magma

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LMFDB

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ell-adic-galois-images

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MaRDI profile type

MaRDI publication profile

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cites work

A criterion to rule out torsion groups for elliptic curves over number fields

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Explicit Chabauty-Kim for the split Cartan modular curve of level 13

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Serre's uniformity problem in the split Cartan case

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Rational points on \(X_0^+(p^r)\)

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Torsion points on CM elliptic curves over real number fields

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Torsion of rational elliptic curves over quartic Galois number fields

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Computation on elliptic curves with complex multiplication

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Gonality of the modular curve \(X_1(N)\)

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Torsion subgroups of elliptic curves over quintic and sextic number fields

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Complete classification of the torsion structures of rational elliptic curves over quintic number fields

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On the minimal degree of definition of \(p\)-primary torsion subgroups of elliptic curves

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On the torsion of rational elliptic curves over quartic fields

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Torsion of rational elliptic curves over cubic fields

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Torsion of rational elliptic curves over quadratic fields. II

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On the torsion of elliptic curves over cubic number fields

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ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS

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Infinite families of elliptic curves over dihedral quartic number fields

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Torsion points on elliptic curves and \(q\)-coefficients of modular forms

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The modular curve X0(39) and rational isogeny

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The modular curves X0(65) and X0(91) and rational isogeny

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The Modular Curve X 0 (169) and Rational Isogeny

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On the Modular Curves X 0 (125), X 1 (25), X 1 (49)

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Torsion points on elliptic curves defined over quadratic fields

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Universal Bounds on the Torsion of Elliptic Curves

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On the field of definition of \(p\)-torsion points on elliptic curves over the rationals

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Modular curves and the Eisenstein ideal

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Rational isogenies of prime degree. (With an appendix by D. Goldfeld)

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Bounds for the torsion of elliptic curves over number fields

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Torsion of rational elliptic curves over cubic fields and sporadic points on \(X_1(n)\)

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Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois

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Galois properties of points of finite order of elliptic curves

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Quelques applications du théorème de densité de Chebotarev

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COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

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Identifiers

zbMATH Open document ID

1480.11071

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5216735