We construct Stickelberger elements for Hilbert modular cusp forms ofparallel weight 2 and use recent results of Dasgupta and Spiess to bound theirorder of vanishing from below. As a special case the vanishing part of Mazurand Tate's refined "Birch and Swinnerton-Dyer type"-conjecture for ellipticcurves of rank 0 follows.
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机译：我们为权重为2的希尔伯特模块化尖瓣形式构造Stickelberger元素，并使用Dasgupta和Spiess的最新结果来约束它们从下面消失的顺序。作为特例，接着出现了Mazurand Tate针对等级0的椭圆曲线精制的“ Birch and Swinnerton-Dyer型”猜想的消失部分。
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