상단메뉴
글로벌메뉴
좌측메뉴
검색
tab menu
Seminar View
| TITLE | Quadratic twists of X-0(14) |
|---|---|
| KIAS AUTHORS | Choi, Junhwa |
| JOURNAL | JOURNAL OF NUMBER THEORY, 2021 |
| ARCHIVE | |
| ABSTRACT | In the present paper, we prove the 2-part of Birch and Swinnerton-Dyer conjecture for an explicit infinite family of rank 0 quadratic twists of the modular elliptic curve X-0(14), using an explicit form of the Waldspurger formula. We also give an explicit infinite family of rank 1 quadratic twists of X-0(14) whose Tate-Shafarevich group is of odd cardinality. (c) 2021 Elsevier Inc. All rights reserved. |
