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math.NT2005
Ordinary elliptic curves of high rank over with constant j-invariant II
Claus Diem, Jasper Scholten
We show that for all odd primes , there exist ordinary elliptic curves over with arbitrarily high rank and constant -invariant. This shows in particul…
math.NT2004
Asymptotically good towers and differential equations
Peter Beelen, Irene I. Bouw
This paper concerns towers of curves over a finite field with many rational points, following Garcia--Stichtenoth and Elkies. We present a new method to produce such towers. A key…
math.NT2003
Ordinary elliptic curves of high rank over with constant j-invariant
Irene I. Bouw, Claus Diem, Jasper Scholten
We show that under the assumption of Artin's Primitive Root Conjecture, for all primes p there exist ordinary elliptic curves over with arbitrary high rank and consta…