Title: Ordinary elliptic curves of high rank over (F)over-bar(P) (x) with constant j-invariant II
Authors: Diem, Claus ×
Scholten, Jasper #
Issue Date: May-2007
Publisher: Academic press inc elsevier science
Series Title: Journal of number theory vol:124 issue:1 pages:31-41
Abstract: We show that for all odd primes p, there exist ordinary elliptic curves over F-p(x) with arbitrarily high rank and constant j-invariant. This shows in particular that there are elliptic curves with arbitrarily high rank over these fields for which the corresponding elliptic surface is not supersingular. The result follows from a theorem which states that for all odd prime numbers p and l, there exists a hyperelliptic curve over F-p of genus (l - 1)/2 whose Jacobian is isogenous to the power of one ordinary elliptic curve. (C) 2006 Elsevier Inc. All rights reserved.
ISSN: 0022-314X
Publication status: published
KU Leuven publication type: IT
Appears in Collections:ESAT - STADIUS, Stadius Centre for Dynamical Systems, Signal Processing and Data Analytics
× corresponding author
# (joint) last author

Files in This Item:

There are no files associated with this item.

Request a copy


All items in Lirias are protected by copyright, with all rights reserved.

© Web of science