Benedikt Berghammer on Sat, 05 Jul 2008 12:29:32 +0200 |
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Derivation in finite fields |
Hi all,I'm new in working with PARI and have the following problem. I'm working on a script for computing the Weil-Pairing over finite fields after Miller's algorithm.
In one step I need to get the line tangent to an Elliptic Curve E at a point P. For computing the gradient of this tangent I need to compute the derivation of the square root.
For example I have the Elliptic Curve E=x^3-48*x+1 in the field p=1009. When tryingMod(deriv(sqrt(x^3-48*x+1)),1009) I get the following error in PARI: Mod: incorrect type in Rg_to_Fl.
Is there any possibility to compute such derivations in PARI or has PARI maybe functions for computing such a tangent line?
Thanks Benedikt
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