论文标题
二次曲折的平均等级，其高度几乎最小
Average rank of quadratic twists with a rational point of almost minimal height
论文作者
论文摘要
鉴于一个固定椭圆曲线定义的固定椭圆曲线的二次曲折家族，我们调查了在曲折的亚家族中的平均等级，即具有几乎最小的高度的非旁路理性点。我们特别表明平均分析等级大于一个。
Given a family of quadratic twists of a fixed elliptic curve defined over $\mathbb{Q}$, we investigate the average rank in the subfamily of twists having a nontorsion rational point of almost minimal height. We show in particular that the average analytic rank is greater than one.
