On Class Numbers, Torsion Subgroups, and Quadratic Twists of Elliptic Curves

Talia Blum, Caroline Choi, Alexandra Hoey +3

The Mordell-Weil groups $E(\mathbb{Q})$ of elliptic curves influence the structures of their quadratic twists $E_{-D}(\mathbb{Q})$ and the ideal class groups $\mathrm{CL}(-D)$ of i…