A note on Pépin's counterexamples to the Hasse principle for curves of genus 1

DOI10.1007/BF02940884zbMath0949.11019arXivmath/9903207MaRDI QIDQ1969649

Franz Lemmermeyer

Publication date: 19 March 2000

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9903207

zbMATH Keywords

elliptic curvesHasse principletorsor2-class groupscomplex quadratic fields

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (5)

Unnamed Item ⋮ Binomial squares in pure cubic number fields ⋮ Effectivity of Brauer-Manin obstructions ⋮ The arithmetic of certain quartic curves ⋮ On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions

Cites Work

• Rational quartic reciprocity
• Die Diophantische Gleichungmx 2+ny2=z4
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