A Relation Between the Two-Component of the Tate-Safarevic Group and L(1) for Certain Elliptic Curves
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Publication:4049207
DOI10.2307/2373584zbMath0296.14016OpenAlexW2331026032MaRDI QIDQ4049207
Publication date: 1974
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2373584
Special algebraic curves and curves of low genus (14H45) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)
Related Items (7)
Congruent numbers, quadratic forms and \(K_2\) ⋮ A classical family of elliptic curves having rank one and the \(2\)-primary part of their Tate-Shafarevich group non-trivial ⋮ On the Birch-Swinnerton-Dyer conjecture of elliptic curves \(E_D:y^2 = x^3-D^2 x\) ⋮ A classical Diophantine problem and modular forms of weight \(3/2\) ⋮ A criterion for elliptic curves with second lowest 2-power in \(L(1)\). II ⋮ Some functions related to the derivatives of the L-series of an elliptic curve at s=1 ⋮ A remark on prime (non)congruent numbers
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