Explicit upper bound for the rank of J0(q)
Emmanuel Kowalski, Philippe Michel
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 X0(q) for q prime large enough, namely rank J0(q)< 6.5 dim J0(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 J0(q)''.
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