A Database of Elliptic Curves over Q(sqrt(5)) - First Report

Details A Database of Elliptic Curves over Q(sqrt(5)) - First Report A Database of Elliptic Curves over Q(sqrt(5)) - First Report

2012-02-29

arxiv.org/abs/1202.6612v1

Mathematics

Number Theory

17 pages

Scientific paper

We describe a tabulation of (conjecturally) modular elliptic curves over the field Q(sqrt(5)) up to the first curve of rank 2. Using an efficient implementation of an algorithm of Lassina Dembele, we computed tables of Hilbert modular forms of weight (2,2) over Q(sqrt(5)), and via a variety of methods we constructed corresponding elliptic curves, including (again, conjecturally) all elliptic curves over Q(sqrt(5)) that have conductor with norm less than or equal to 1831.

Affiliated with

Also associated with

No associations

Rating

A Database of Elliptic Curves over Q(sqrt(5)) - First Report 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 A Database of Elliptic Curves over Q(sqrt(5)) - First Report, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Database of Elliptic Curves over Q(sqrt(5)) - First Report will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-525314