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We study the quantization of the 6d Seiberg-Witten curve for D-type minimalconformal matter theories compactified on a two-torus. The quantized 6d curveturns out to be a difference equation established via introducing codimensiontwo and four surface defects. We show that, in the Nekrasov-Shatashvili limit,the 6d partition function with insertions of codimension two and four defectsserve as the eigenfunction and eigenvalues of the difference equation,respectively. We further identify the quantum curve of D-type minimal conformalmatters with an elliptic Garnier system recently studied in the integrabilitycommunity. At last, as a concrete consequence of our elliptic quantum curve, westudy its RG flows to obtain various quantum curves of 5d ${\rm Sp}(N)+N_f\mathsf{F},N_f\leq 2N+5$ theories.

D-type Minimal Conformal Matter: Quantum Curves, Elliptic Garnier Systems, and the 5d Descendants