Quantum infinitesimal Weierstrass equation conjecture

Let ${}^{\bullet}\wp^{\mathrm{nc}}_{\mu,\theta}$ and ${}^{\bullet}\wp'_{\mu,\theta}$ be the quantum nonstandard Weierstrass function and its derivative, and let ${}^{\bullet}\mathrm{E}^{\mathrm{quant}}_{(\mu,\theta)}(X,Y)$ denote the corresponding quantum infinitesimal Weierstrass equation. The relation $\simeq_{\ast}$ denotes the relevant infinitesimal equivalence. Quantum Weierstrass conjecture. The pair $({}^{\bullet}\wp^{\mathrm{nc}}_{\mu,\theta},{}^{\bullet}\wp'_{\mu,\theta})$ is a solution of

$${}^{\bullet}\mathrm{E}^{\mathrm{quant}}_{(\mu,\theta)}(X,Y)\simeq_{\ast}0.$$

The preceding discussion shows only that the equation is satisfied trivially with respect to the weaker relation $\simeq$; the conjecture asks for the stronger infinitesimal relation $\simeq_{\ast}$, which is not established in the supplied text.