论文标题
关于几何透明shimura曲线的Atkin-Lehner商的理性点
Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves
论文作者
论文摘要
Guo和Yang给出了所有几何过度椭圆形曲线的定义方程式$ x_0（d，n）$。在本文中，我们使用各种技术计算了这些曲线的Atkin-Lehner商上的$ \ Mathbb {Q} $ - 有理点。我们还确定了许多此类曲线的合理点是CM。
Guo and Yang give defining equations for all geometrically hyperelliptic Shimura curves $X_0(D,N)$. In this paper we compute the $\mathbb{Q}$-rational points on the Atkin-Lehner quotients of these curves using a variety of techniques. We also determine which rational points are CM for many of these curves.
