Elliptic Curves Satisfying the Birch and Swinnerton–Dyer Conjecture mod 3

✍ Scribed by Kevin James

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 110 KB
• Volume: 76
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1998.2349

✦ Synopsis

In this paper, we give examples of elliptic curves for which a positive proportion of the quadratic twists satisfy a weak form of the Birch and Swinnerton Dyer conjecture modulo 3. 1999 Academic Press *III(E &d ÂQ) > p c p (E &d ÂQ) *E &d (Q) 2 tor + =0. (2)