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May 2, 2018 at 16:19 comment added Antoine I am theoretical physicist and as such use Mathematica a lot. But when I have to use modular/automorphic forms, I immediately switch to Sage.
Apr 28, 2018 at 7:18 history edited David Loeffler CC BY-SA 3.0
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Apr 27, 2018 at 19:38 comment added David Loeffler Sage does, in fact, have weight 1 forms, and Petersson products of level 1 forms (both implemented by me, as it happens). But Pari/GP's implementation seems to be rather more general; I've edited my answer to include this. You are also quite correct that Hilbert mod forms are one important thing that Magma does have which neither of its competitors offer at present.
Apr 27, 2018 at 19:18 history edited David Loeffler CC BY-SA 3.0
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Apr 27, 2018 at 15:24 comment added Aurel It includes weight 1 and half-integral, expansion at all cusps, petersson product etc. which I am not sure that magma or sage have. One should also note that magma has Hilbert modular forms.
Apr 27, 2018 at 15:18 comment added Aurel pari/gp also has classical modular forms : pari.math.u-bordeaux.fr/dochtml/html
Apr 27, 2018 at 11:13 history answered David Loeffler CC BY-SA 3.0