On 2010-08-15 18:59, John Cremona wrote:
> My guess is that in the prime case it's easy to find the smallest
> integer, and desirable that the 2 generators always have the form p,
> alpha in that order with p the underlying prime.  But it may well be
> that PARI's idealtwoelt() function does that anyway.

Yes, idealtwoelt() does that (and it is documented as such).
If nobody complains, I will open a ticket for this (but I will wait to
change things until the dust settles around #9343 and #9400).

Jeroen.

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