paramodular adjective1 •Pertaining to a pair (a, b) of set functions where a is supermodular, b is submodular, and they always satisfy the cross-inequality b(X) - a(Y) > b(X-Y) -a(Y-X) for all X, Y.We give criteria under which the isogeny class of A is determined by F and thereby obtain new evidence towards our paramodular conjecture. — 2015