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1997 Computing periods of cusp forms and modular elliptic curves
John E. Cremona
Experiment. Math. 6(2): 97-107 (1997).

Abstract

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.

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John E. Cremona. "Computing periods of cusp forms and modular elliptic curves." Experiment. Math. 6 (2) 97 - 107, 1997.

Information

Published: 1997
First available in Project Euclid: 14 March 2003

zbMATH: 0894.11027
MathSciNet: MR1474571

Subjects:
Primary: 11F67
Secondary: 11F11 , 11G05 , 11Y35

Rights: Copyright © 1997 A K Peters, Ltd.

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Vol.6 • No. 2 • 1997
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