|Prof. J. E. Cremona on Wed, 02 Jun 2004 13:20:37 +0200|
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|Re: Elliptic curves over finite fields|
If ap = ellap(E,p) is the Trace of Frobenius at p then apr = trace(Mod(x,x^2-ap*x+p)^r) is the trace of Frobenius^r and so the number you want is 1+p^r-apr. John Cremona -- Prof. J. E. Cremona | University of Nottingham | Tel.: +44-115-9514920 School of Mathematical Sciences | Fax: +44-115-9514951 University Park | Email: John.Cremona@nottingham.ac.uk Nottingham NG7 2RD, UK | This message has been scanned but we cannot guarantee that it and any attachments are free from viruses or other damaging content: you are advised to perform your own checks. Email communications with the University of Nottingham may be monitored as permitted by UK legislation.