SMS scnews item created by Bill Unger at Tue 5 Dec 2006 1513
Type: Seminar
Distribution: World
Expiry: 7 Dec 2006
Calendar1: 7 Dec 2006 1505-1600
CalLoc1: Carslaw 535A

Computational Algebra Seminar: Watkins -- Heuristics for elliptic curves

Speaker: Mark Watkins
Title: Heuristics for elliptic curves
Venue: Carslaw 535
Date & Time: Thursday 7 December, 3-4pm

We use random matrix theory to give heuristics for the moments
of L-values of elliptic curves, and via a BSD-based discretisation
proceed to estimate the number of elliptic curves (up to X)
with rank 2. We discuss the difference between various ways of
ordering the elliptic curves, and present some computational data
related the heuristics we derive.

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