An effective Shafarevich theorem for elliptic curves

DOI10.4064/aa148-2-5zbMath1231.11061OpenAlexW2326616179MaRDI QIDQ5392178

Gisbert Wüstholz, Rafael von Känel, Clemens Fuchs

Publication date: 8 April 2011

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa148-2-5

zbMATH Keywords

elliptic curvesgood reductionnumber fieldsBaker's methodMordell equationWeierstrass modelsShafarevich's theorem

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Algebraic moduli problems, moduli of vector bundles (14D20) Cubic and quartic Diophantine equations (11D25) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (3)

Sums of two $S$-units via Frey-Hellegouarch curves ⋮ The effective Shafarevich conjecture for abelian varieties of -type ⋮ An effective proof of the hyperelliptic Shafarevich conjecture

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