A q-analogue of the (J.2) supercongruence of Van Hamme

Zudilin proved some Ramanunjan-type supercongruences by the WZ method. Long proved a Ramanujan-type supercongruence conjecture due to Van Hamme by applying some hypergeometric evaluation identities. In this paper, we propose a conjecture on a complete q-analogue of this supercongruence of Van Hamme and prove it in a weaker form via the q-WZ method. Additionally, we give a q-analogue of a related congruence involving cubes of binomial coefficients due to Sun in the same way. We also present a conjecture on a q-analogue of the corresponding infinite series for 1/π due to Ramanujan.