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Serre’s Constant of Elliptic Curves Over the Rationals - MaRDI portal

Serre’s Constant of Elliptic Curves Over the Rationals (Q5094485)

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scientific article; zbMATH DE number 7566900

Language	Label	Description	Also known as
English	Serre’s Constant of Elliptic Curves Over the Rationals	scientific article; zbMATH DE number 7566900

Statements

scholarly article

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Serre’s Constant of Elliptic Curves Over the Rationals (English)

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Harris B. Daniels

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Enrique González-Jiménez

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Experimental Mathematics

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publication date

3 August 2022

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full work available at URL

https://arxiv.org/abs/1812.04133

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zbMATH Keywords

elliptic curves

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rationals

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Galois representation

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describes a project that uses

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ell-adic-galois-images

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MaRDI profile type

MaRDI publication profile

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The decomposition of primes in torsion point fields

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Finiteness results for modular curves of genus at least 2

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

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Normalizers of non-split Cartan subgroups, modular curves, and the class number one problem

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An exceptional isomorphism between modular curves of level 13

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Tetrahedral elliptic curves and the local-global principle for isogenies

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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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Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 -- August 3, 1972

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Two-cover descent on hyperelliptic curves

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On the Surjectivity of the Galois Representations Associated to Non-CM Elliptic Curves

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An infinite family of Serre curves

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

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Surjectivity of mod \(2^n\) representations of elliptic curves

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Courbes elliptiques sur Q sans nombres premiers exceptionnels

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Finiteness theorems for abelian varieties over number fields.

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Almost all elliptic curves are Serre curves

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The modular curve <i>X</i><sub>0</sub>(39) and rational isogeny

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The modular curves <i>X</i><sub>0</sub>(65) and <i>X</i><sub>0</sub>(91) and rational isogeny

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The Modular Curve <i>X</i> <sub>0</sub> (169) and Rational Isogeny

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On the Modular Curves <i>X</i> <sub>0</sub> (125), <i>X</i> <sub>1</sub> (25), <i>X</i> <sub>1</sub> (49)

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Serre’s uniformity conjecture for elliptic curves with rational cyclic isogenies

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Some cases of Serre's uniformity problem

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

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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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COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES

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Modular curves of prime-power level with infinitely many rational points

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Bounds for the Lang-Trotter Conjectures

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Identifiers

10.1080/10586458.2019.1655816

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5094485

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