%0 Journal Article %A Yukako Kezuka %A Yongxiong Li %T A Classical Family of Elliptic Curves having Rank One and the $2$-Primary Part of their Tate-Shafarevich Group Non-Trivial %J Documenta mathematica %D 2020 %P 2115-2147 %V 25 %U http://geodesic.mathdoc.fr/articles/10.4171/dm/795/ %R 10.4171/dm/795 %F 10_4171_dm_795