scientific article; zbMATH DE number 814542

zbMath0860.11032MaRDI QIDQ4855221

Dorian Goldfeld, Lucien Szpiro

Publication date: 10 November 1996

Full work available at URL: http://www.numdam.org/item?id=CM_1995__97_1-2_71_0

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zbMATH Keywords

conductordiscriminantBirch-Swinnerton-Dyer conjecturemodular elliptic curvesorder of the Tate-Shafarevich group

Mathematics Subject Classification ID

Elliptic curves (14H52) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (11)

Elliptic curves with large Tate–Shafarevich groups over \boldmath𝔽_{𝕢}(𝕥) ⋮ Hodge theory and the Mordell-Weil rank of elliptic curves over extensions of function fields ⋮ Lecture on the abc Conjecture and Some of Its Consequences ⋮ On the 𝑝^{𝑒}-torsion of elliptic curves and elliptic surfaces in characteristic 𝑝 ⋮ Representation by ternary quadratic forms ⋮ On classification of elliptic fibrations with small number of singular fibres over a base of genus 0 and 1 ⋮ Elliptic curves with large Shafarevich-Tate group ⋮ On some applications of automorphic forms to number theory ⋮ Distribution of Selmer groups of quadratic twists of a family of elliptic curves ⋮ Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture ⋮ A heuristic for boundedness of ranks of elliptic curves

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• FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES

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