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- W118970476 abstract "Computations on the Birch and Swinnerton-Dyer conjecture for elliptic curves over pure cubic extensions Celine Maistret The Birch and Swinnerton-Dyer conjecture remains an open problem. In this thesis, we propose to give numerical evidence toward this conjecture when restricted to elliptic curves over pure cubic extensions. We present the general conjecture for elliptic curves over number fields and detail each arithmetic invariants involved. Assuming the conjecture holds, for given elliptic curves E over specific number fields K, we compute the order of the Shafarevich-Tate group of E(K)." @default.
- W118970476 created "2016-06-24" @default.
- W118970476 creator A5019541407 @default.
- W118970476 date "2012-08-21" @default.
- W118970476 modified "2023-09-27" @default.
- W118970476 title "Computations on the Birch and Swinnerton-Dyer conjecture for elliptic curves over pure cubic extensions" @default.
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