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Hellions, being jump infantry, have the hammer of wrath special rule. So the question is, what is the strength value that one should use for the hammer of wrath special attack at initiative 10?

strength 3, the model's base characteristic?

None of the following modifiers: (?)
+1 for hellglaives?
+1 for combat drugs potentially?
+1 for furious charge potentially?

text says "resolved at the model's unmodified strength." wondering if combat drugs or hellglaives are modifications or not.

SInce they modify the strength, thy are modifiers.

+1 to S meets th rulebooks definition of a modifier.