|McLaughlin, James (MATH) on Wed, 09 Nov 2011 17:58:43 +0100|
[Date Prev] [Date Next] [Thread Prev] [Thread Next] [Date Index] [Thread Index]
|defining elliptic curves over a finite field|
How do I get pari to define an elliptic curve over a finite field F_p (say F_5)?
The instructions for ellinit have nothing to say about this. The manual several talks about curves being defined over a prime field F_p, but does not actually say how to do it.
I do ec=ellinit([0,0,0,1,1])
If I do ellad(ec,[0,1],)
the output is [1/4,-9/8] (so the arithmetic appears to be over Q).
How can I define the curve so the output treats the curve as being over F_5 and outputs [4,2]?
Jimmy Mc Laughlin