On the 2-adic valuations of central L-values of elliptic curves

Autor:	Junhwa Choi
Rok vydání:	2019
Předmět:	Elliptic curve Pure mathematics Algebra and Number Theory Conjecture Group (mathematics) Mathematics::Number Theory 010102 general mathematics 010103 numerical & computational mathematics 0101 mathematics Algebraic number 01 natural sciences Mathematics
Zdroj:	Journal of Number Theory. 204:405-422
ISSN:	0022-314X
DOI:	10.1016/j.jnt.2019.04.011
Popis:	The paper generalizes the method of Zhao for an infinite family of Q -curves and establishes some analytic results on the 2-part of the Birch and Swinnerton-Dyer conjecture. We give lower bounds on the 2-adic valuations of the algebraic part of the L-values at s = 1 for those Q -curves. Moreover, we also discuss 2-descent on Q -curves and compute their Mordell-Weil group and Tate-Shafarevich group.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1ca1162c61d9108c9164e9a689b8d99b https://doi.org/10.1016/j.jnt.2019.04.011 Zobrazit plný text záznamu Full Text from ScienceDirect