Conditionally bounding analytic ranks of elliptic curves

Details Conditionally bounding analytic ranks of elliptic curves Conditionally bounding analytic ranks of elliptic curves

2011-12-07

arxiv.org/abs/1112.1503v1

Mathematics

Number Theory

9 pages

Scientific paper

We describe a method for bounding the rank of an elliptic curve under the assumptions of the Birch and Swinnerton-Dyer conjecture and the generalized Riemann hypothesis. As an example, we compute, under these conjectures, exact upper bounds for curves which are known to have rank at least as large as 20, 21, 22, 23, and 24. For the known curve of rank at least 28, we get a bound of 30.

Affiliated with

Also associated with

No associations

Rating

Conditionally bounding analytic ranks of elliptic curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Conditionally bounding analytic ranks of elliptic curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Conditionally bounding analytic ranks of elliptic curves will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-595232