The quartic Fermat equation in Hilbert class fields of imaginary quadratic fields

zbMath1390.11064arXiv1410.3008MaRDI QIDQ2942550

Patrick Morton, Rodney Lynch

Publication date: 11 September 2015

Full work available at URL: https://arxiv.org/abs/1410.3008

zbMATH Keywords

elliptic curvescomplex multiplicationHilbert class fieldquartic Fermat equationWeber singular moduli

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41)

Related Items (3)

Product formulas for the 5-division points on the Tate normal form and the Rogers-Ramanujan continued fraction ⋮ Periodic points of algebraic functions and Deuring's class number formula ⋮ Solutions of the cubic Fermat equation in ring class fields of imaginary quadratic fields (as periodic points of a 3-adic algebraic function)

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