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Affine analogues of the Q-functions are constructed using folded instantonspartition functions. They are shown to be the solutions of the quantum spectralcurve of the N-body elliptic Calogero-Moser (eCM) system, the quantum Krichevercurve. They also solve the elliptic analogue of the quantum Wronskian equation.In the companion paper we present the quantum analogue of Krichever's Laxoperator for eCM. A connection to crossed instantons on Taub-Nut spaces, andopers on a punctured torus is pointed out.

Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities