Arithmetic of elliptic curves and diophantine equations

DOI10.5802/jtnb.245zbMath0964.11028OpenAlexW2072806648MaRDI QIDQ1809047

Loic Merel

Publication date: 7 February 2000

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1999__11_1_173_0

zbMATH Keywords

surveyGalois representationmodular formsFermat equationdegree conjecture\(abc\) conjecturemodular elliptic curvecurves of FreyDénes' equations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Higher degree equations; Fermat's equation (11D41)

Related Items (6)

Jacobians of modular curves associated to normalizers of Cartan subgroups of level \(p^n\) ⋮ The equation \(x^{2n}+y^{2n}=z^5\) ⋮ Generalized Fermat equations: A miscellany ⋮ A MODULI INTERPRETATION FOR THE NON-SPLIT CARTAN MODULAR CURVE ⋮ On the integers represented by x⁴ − y⁴ ⋮ Elliptic curves with exceptionally large analytic order of the Tate–Shafarevich groups

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