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Denis associated to each Drinfeld module  ϕ over a global function field  L a canonical height function, which plays a role analogous to that of the Néron–Tate height in the context of elliptic curves. We prove that there exists a constant  ε &gt;0, depending only on the number of places at which  ϕ has bad reduction, such that either  x ∈ ϕ ( L ) is a torsion point of bounded order, or else, where  j   ϕ   andare analogs of the  j -invariant and minimal discriminant of an elliptic curve. As an application, we make some observations about specializations of one-parameter families of Drinfeld modules.

A Lower Bound for the Canonical Height Associated to a Drinfeld Module