We show that for arithmetic weights with a fixed finite‐order character, the slopes of $U_p$ for $p=2$ (which is inert) acting on overconvergent Hilbert modular forms of level $U_0(4)$ are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.

中文翻译：

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希尔伯特模形式在Q（5）上的2adic斜率

我们证明了对于具有固定有限阶字符的算术权重， ${ü}_p$ 对于 $p=2$ （是惰性的）作用于级别的过度收敛的希尔伯特模块化形式 ${ü}_0（4）$ 与重量（代数部分）无关，可以通过简单的公式从平行权重3的经典斜率中获得。