Torsion subgroups of rational elliptic curves over the compositum of all cubic fields (Q4586624)

scientific article; zbMATH DE number 6801027

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English	Torsion subgroups of rational elliptic curves over the compositum of all cubic fields	scientific article; zbMATH DE number 6801027

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instance of

scholarly article

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title

Torsion subgroups of rational elliptic curves over the compositum of all cubic fields (English)

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zbMATH Open document ID

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Álvaro Lozano-Robledo

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Filip Najman

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Andrew V. Sutherland

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published in

Mathematics of Computation

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publication date

30 October 2017

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full work available at URL

https://arxiv.org/abs/1509.00528

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Mathematics Subject Classification ID

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torsion subgroups

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cubic extensions

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elliptic curves

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cites work

ell-adic-galois-images

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The Magma algebra system. I: The user language

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Torsion of rational elliptic curves over quartic Galois number fields

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Computing the Degree of the Modular Parametrization of a Modular Elliptic Curve

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Congruence Subgroups of PSL(2, Z) of Genus Less than or Equal to 24

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Torsion subgroups of rational elliptic curves over the compositum of all cubic fields

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Finiteness theorems for abelian varieties over number fields.

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Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields

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Torsion subgroups of elliptic curves with non-cyclic torsion over Q in elementary abelian 2-extensions of Q

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Torsion subgroups of elliptic curves in elementary abelian 2-extensions of \(\mathbb Q\)

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On the compositum of all degree \(d\) extensions of a number field

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Normalteiler und maximale Untergruppen endlicher Gruppen

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Families of elliptic curves over cubic number fields with prescribed torsion subgroups

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Families of elliptic curves over quartic number fields with prescribed torsion subgroups

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ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS

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On the torsion of elliptic curves over cubic number fields

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

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On the number of Q-isomorphism classes of elliptic curves in each Q- isogeny class

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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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Rational points on elliptic curves over Q in elementary abelian 2-extensions of Q.

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

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Division fields of elliptic curves with minimal ramification

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Uniform boundedness in terms of ramification

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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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Computing Division Polynomials

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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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Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres

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Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)

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Q4858090

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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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The Arithmetic of Elliptic Curves

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A local-global principle for rational isogenies of prime degree

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COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

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Remark on a recent paper of Ø. Ore

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Elliptic curves with maximal Galois action on their torsion points

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describes a project that uses

ell-adic-galois-images

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Magma

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LMFDB

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MaRDI profile type

MaRDI publication profile

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Mathematics(1 entry)

mardi Publication:4586624