Congruences for truncated hypergeometric series ${}_2{F}_1$

Rodriguez-Villegas conjectured four supercongruences associated to certain elliptic curves, which were first confirmed by Mortenson by using the Gross-Koblitz formula. In this paper, we aim to prove four supercongruences between two truncated hypergeometric series ${}_2{F}_1$. This generalizes these four Rodriguez-Villegas supercongruences.