Let A be a quaternion algebra over a number field F, and $\mathcal{O}$ be an $O_F$-order of full rank in A. Let K be a quadratic field extension of F that embeds into A, and B be an $O_F$-order in K. Suppose that $\mathcal{O}$ is a Bass order that is well-behaved at all the dyadic primes of F. We provide a necessary and sufficient condition for B to be optimally spinor selective for the genus of $\mathcal{O}$. This partially generalizes previous results on optimal (spinor) selectivity by C. Maclachlan (2008) [21] for Eichler orders of square-free levels, and independently by M. Arenas et al. (2018) [1] and by J. Voight (2021) [27, Chapter 31] for Eichler orders of arbitrary levels.

设A为数字场F上的四元数代数，并且$\mathcal{Ø}$ 豆 ${Ø}_F$A中的全等级。令K为嵌入A的F的二次场扩展，而B为一个${Ø}_F$K中的顺序。假设$\mathcal{Ø}$是在F的所有二进质数上都表现良好的低音阶。我们提供了一个必要和充分的条件，使B能够对B的属进行最佳的自旋选择。$\mathcal{Ø}$。这部分概括了C. Maclachlan（2008）[21]针对无平方水平的Eichler级的最佳（纺丝）选择性的先前研究结果，以及M. Arenas等人的独立研究。（2018）[1]和J. Voight（2021）[27，第31章]中的任意级别的Eichler阶。