Average frobenius distributions for elliptic curves with 3-torsion

✍ Scribed by Kevin James

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 274 KB
• Volume: 109
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2004.06.012

✦ Synopsis

In this paper, we examine the Lang-Trotter conjecture for elliptic curves which possess rational 3-torsion points. We prove that if one averages over all such elliptic curves then one obtains an asymptotic similar to the one predicted by Lang and Trotter.