Computing periods of cusp forms and modular elliptic curves
Cremona, John E.
Experiment. Math., Tome 6 (1997) no. 4, p. 97-107 / Harvested from Project Euclid
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We present an improved method of computing the periods of a newform for {\mathversion{normal}$\Gamma$}$_0(N)$, which converges faster than the method used in [Cremona 1992] (and originally in [Tingley 1975]). We also present some shortcuts that speed up the process of computing all modular elliptic curves of a given conductor $N$. As an application of these methods, we report on the extension of the systematic computation of modular elliptic curves to all conductors up to 5077.
Publié le : 1997-05-14
Classification:  11F67,  11F11,  11G05,  11Y35 
@article{1047649997,
     author = {Cremona, John E.},
     title = {Computing periods of cusp forms and modular elliptic curves},
     journal = {Experiment. Math.},
     volume = {6},
     number = {4},
     year = {1997},
     pages = { 97-107},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047649997}
}

Cremona, John E. Computing periods of cusp forms and modular elliptic curves. Experiment. Math., Tome 6 (1997) no. 4, pp.  97-107. http://gdmltest.u-ga.fr/item/1047649997/