Section: New Results
Modular forms
Participants : Karim Belabas, Henri Cohen, Bill Allombert.
In [18], K. Belabas and H. Cohen give theoretical
and practical information on the Pari/GP modular forms package, using the
formalism of trace formulas.
This huge package (about 70 exported public functions) handles standard
operations on classical modular forms in
In [39], H. Cohen explained how to compute Fourier expansions at all cusps of any modular form of integral or half-integral weight.
A complementary package using modular symbols is used in
[17] by
Karim Belabas, Dominique Bernardi and Bernadette Perrin-Riou to
compute Manin's constant and the modular degree of elliptic curves
defined over