Andreas Enge on Wed, 15 Feb 2012 16:54:27 +0100

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Re: Complex AGM

On Wed, Feb 15, 2012 at 03:24:21PM +0000, John Cremona wrote:
> For a definition of what "optimal" means and why it matters for
> elliptic curve period computations, see

In his PhD thesis, Dupont makes the additional assumption that if there
are two "good" choices, then Im (b_n, a_n) > 0 (it could be that this is
taken from Cox1984, I have not verified). So I would suggest to modify
pari to compute the optimal sequence together with this normalisation.