Étude de la courbe elliptique $y^2 = 4x^3 - 27 ((3 + \sqrt{-19})/2)^2$ et monogénéité de certains anneaux d'entiers

DOI10.5802/jtnb.8zbMath0748.14012OpenAlexW2329432848MaRDI QIDQ4712447

Vincent Fleckinger

Publication date: 25 June 1992

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_1989__1_1_103_0

zbMATH Keywords

elliptic curveray class fields\(L\)-seriesintegral basesBirch--Swinnerton-Dyer conjecture3-descent

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Class field theory (11R37)

Cites Work

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• Konstruktion von Potenzganzheitsbasen in Strahlklassenkörpern über imaginär-quadratischen Zahlkörpern.
• Wildly Ramified Gamma Extensions