Explicit Computations of Hilbert Modular Forms on $\Q(\sqrt{5})$
Dembélé, Lassina
Experiment. Math., Tome 14 (2005) no. 1, p. 457-466 / Harvested from Project Euclid
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This article presents an algorithm to compute Hilbert modular forms on the quadratic field $\Q(\sqrt{5})$. It also provides a list of all modular abelian varieties defined over $\Q(\sqrt{5})$ with prime level of norm less than 100 (up to $\Q$-isogeny).
Publié le : 2005-05-14
Classification:  HIlbert modular forms,  automorphic forms,  Brandt matrices,  11-xx,  11Gxx 
@article{1136926976,
     author = {Demb\'el\'e, Lassina},
     title = {Explicit Computations of Hilbert Modular Forms on $\Q(\sqrt{5})$},
     journal = {Experiment. Math.},
     volume = {14},
     number = {1},
     year = {2005},
     pages = { 457-466},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1136926976}
}

Dembélé, Lassina. Explicit Computations of Hilbert Modular Forms on $\Q(\sqrt{5})$. Experiment. Math., Tome 14 (2005) no. 1, pp.  457-466. http://gdmltest.u-ga.fr/item/1136926976/