2024 / June Volume 19 No.2
Expected Mordell-Weil rank heuristics through Sato-Tate, Birch and Swinnerton-Dyer conjectures
Published Date |
2024 / June
|
---|---|
Title | Expected Mordell-Weil rank heuristics through Sato-Tate, Birch and Swinnerton-Dyer conjectures |
Author | |
Keyword | |
Download | |
Pagination | 101-108 |
Abstract | We present an heuristic argument for the prediction of expected Mordell-Weil rank of elliptic curves over number fields, using Birch and Swinnerton-Dyer's original conjecture and Sato-Tate conjecture. We do calculations in CM and non-CM cases and raise questions about their relations, if any, with the predictions of various average rank models that have been considered. We also point out incompatibility of a conjecture in the literature with the conjecture of Birch and Swinnerton-Dyer. |
DOI | |
AMS Subject Classification |
11G05, 11G40, 14H52
|
Received |
2024-03-01
|