Arithmetic Geometry

An elliptic curve.
Does N divide its order?
Let’s work out the odds.

Everett W. Howe

Center for Communications Research, La Jolla

Dissertation: Elliptic curves and ordinary abelian varieties over finite fields (U.C. Berkeley, 1993)
The first part of my dissertation involved calculating estimates for the probability that a randomly-chosen elliptic curve over a finite field would have a given integer N dividing its number of points.