ON THE L-FUNCTION OF THE CURVES $\lowercase{y}^2 = \lowercase{x}^5 + A$

DOI10.1112/S0024610703004460zbMath1062.11040MaRDI QIDQ4467848

Michael Stoll, Tonghai Yang

Publication date: 10 June 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(L\)-functionTate-Shafarevich groupBSD conjecturegenus 2 curve-complex multiplication

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Complex multiplication and moduli of abelian varieties (11G15) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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On the Jacobian of a family of hyperelliptic curves ⋮ Algebraic points on the hyperelliptic curves \(y^2 = x^5 + n^2\) ⋮ ON TWISTS OF THE FERMAT CUBIC x³ + y³ = 2

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