On 2018-07-24 22:52, John Cremona wrote:
I heard  a talk today by Henri Cohen
Today? Nice coincidence :-)

The recent pari release (2.11.0)
has classical modular forms but not Hilbert.  HC said that it was on his
wishlist to do similar form HMFs, and he planned to work on that with
Aurel Page, but they have not done it yet.

In any case, progress for this wishlist item is most likely going to come from PARI/GP.

I do not think that there are quaternion algebras in there yet

They have a whole package dealing with finite-dimensional algebras in general and a few specific things for quaternion algebras:

https://pari.math.u-bordeaux.fr/dochtml/html/Associative_and_central_simple_algebras.html

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