Hot answers tagged nist
You are using the wrong value as the modulus; you ought to be using the value $r$ (which is also listed in the document). $p$ is the characteristic of the field that the elliptic curve you're using is defined on. In this case, we're not interested in that; instead what we're interested in is the order of the curve, that is, that value $r$ such that $rP = ...
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