Torsion of elliptic curves with rational 𝑗-invariant defined over number fields of prime degree (Q4992912)

scientific article; zbMATH DE number 7357555

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English	Torsion of elliptic curves with rational 𝑗-invariant defined over number fields of prime degree	scientific article; zbMATH DE number 7357555

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instance of

scholarly article

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title

Torsion of elliptic curves with rational 𝑗-invariant defined over number fields of prime degree (English)

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author

Tomislav Gužvić

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published in

Proceedings of the American Mathematical Society

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publication date

10 June 2021

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full work available at URL

https://arxiv.org/abs/1912.04037

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describes a project that uses

ecdegsets

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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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cites work

The Magma algebra system. I: The user language

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Torsion Subgroups of CM Elliptic Curves over Odd Degree 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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On the torsion of rational elliptic curves over sextic fields

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

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Torsion groups of elliptic curves with integral j-invariant over pure cubic 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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Growth of torsion groups of elliptic curves upon base change

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Torsion growth of rational elliptic curves in sextic number fields

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THE GENERAL LINEAR GROUP OVER A RING

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ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS

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Torsion points on elliptic curves and $q$-coefficients of modular forms

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Torsion points on elliptic curves defined over quadratic fields

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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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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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Q3812366

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Composite images of Galois for elliptic curves over $\mathbf {Q}$ and entanglement fields

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The number of twists with large torsion of an elliptic curve

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

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Points of finite order on elliptic curves with complex multiplication

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Torsion Groups of Elliptic Curves with Integral j-Invariant over General Cubic Number Fields

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Cartan images and $\ell $-torsion points of elliptic curves with rational $j$-invariant

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

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COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

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Q4406363

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Identifiers

zbMATH Open document ID

1475.11113

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DOI

10.1090/proc/15500

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4992912