Re: what is torsion point on elliptic curve
From: Timothy Murphy (tim_at_birdsnest.maths.tcd.ie)
Date: 08/18/04
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Date: 18 Aug 2004 08:45:00 -0400
muthu wrote:
> what is torsion point on elliptic curve?How is it computed?
Torsion point simply means "point of finite order"
in the abelian group on the elliptic curve.
Assuming you are talking of elliptic curves over the rationals,
there is a simple criterion, the Nagell-Lutz theorem,
for determining points of finite order.
Try googling for "Nagell Lutz", or read Silverman & Tate.
-- Timothy Murphy e-mail (<80k only): tim /at/ birdsnest.maths.tcd.ie tel: +353-86-2336090, +353-1-2842366 s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
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