A ``class group obstruction for the equation \(Cy^d=F(x,z)\)

DOI10.5802/jtnb.652zbMath1204.11063OpenAlexW2325070427MaRDI QIDQ1026988

Denis Simon

Publication date: 30 June 2009

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_2008__20_3_811_0

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Higher degree equations; Fermat's equation (11D41)

Related Items

A new parametrization for ideal classes in rings defined by binary forms, and applications ⋮ Most odd-degree binary forms fail to primitively represent a square

Uses Software

• Magma
• PARI/GP
• ecdata

Cites Work

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• The invariant class of a binary form
• Modular forms in Pari/GP
• Explicit 4-descents on an elliptic curve
• Decomposition of primes in non-maximal orders
• On the Equations z^m = F (x, y ) and Ax^p + By^q = Cz^r
• Notes on elliptic curves. I.
• Number Theory