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2-dimensional simple factors ofJ 0(N)

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Abstract

In this paper we investigate abelian varietyA f which is derived from a newformf ∈ S 2(Г0(N)) an is ℚ-simple factors ofJac(X 0 (N)). We will develop algorithms for computing the period matrix ofA f and for determing whenA f is principally polarized. IfA f is 2-dimensional principally polarized, we give an algorithm for computing the associated hyperelliptic curveC withJac(C)≊A f.

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  1. Institute of experimental mathematics, Essen University, Ellernstr. 29, 45326, Essen, Germany

    Xiangdong Wang

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  1. Xiangdong Wang
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Wang, X. 2-dimensional simple factors ofJ 0(N). Manuscripta Math 87, 179–197 (1995). https://doi.org/10.1007/BF02570470

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  • DOI: https://doi.org/10.1007/BF02570470

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