I have point P=[-21,324] on E=ellipticCurve([0,0,0,-3267,45630]). I noticed that point P can be written in different ways in each number field. For example in Q(\sqrt{33}), P=[21+6*s, 54-42*s] with s^2=33. And in complex numbers, P=[15+36I,216-324I] with I^2=-1. How can I find the P in different number fields.
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