%0 Journal Article %T Average rank in families of quadratic twists: a geometric point of view %A Pierre Le Boudec %J Mathematics %D 2015 %I arXiv %X We investigate the average rank in the family of quadratic twists of a given elliptic curve defined over $\mathbb{Q}$, when the curves are ordered using the canonical height of their lowest non-torsion rational point. %U http://arxiv.org/abs/1506.04980v1