Explicit upper bound for the rank of J_0(q)

Emmanuel Kowalski; Philippe Michel

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Explicit upper bound for the rank of J_0(q)

Emmanuel Kowalski·Philippe Michel

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Abstract

We provide, on the Birch and Swinnerton-Dyer conjecture, an explicit upper bound for the rank of the Mordell-Weil group of the Jacobian of the modular curve X_0(q) for q prime large enough, namely rank J_0(q)< 6.5 dim J_0(q). The file j0q-pari.dvi contains the .dvi version of the commented listing of the Pari/GP program used for the computations of the paper ``Explicit Upper Bound for the rank of J_0(q)''.

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BibTeX RIS

Emmanuel Kowalski, Philippe Michel. 1998-10-27. Explicit upper bound for the rank of J_0(q). https://arxiv.org/abs/math/9810209

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