Determination of the modular Jacobian varieties J1(M,MN) with the Mordell-Weil rank zero
Abstract
In this paper, we determine all modular Jacobian varieties J1(M,MN) over the number field Q(ζM) with the Mordell-Weil rank zero following the method of Derickx, Etropolski, van Hoeij, Morrow, and Zureick-Brown.
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