I am not an expert, but is it normal to get negative canonical
height of a point on elliptic curve over number field?

sage: Z1.<Z>=ZZ[];Nf.<v>=NumberField(Z**16-2);E=EllipticCurve(Nf,[-87, 504, 
-40320, 0, 0]);P=E(0,0)
sage: P.height() #not very fast
-0.150688795814905
sage: P.height(precision=2000)
-0.15068879581490624...<snip>

Works on cloud.sagemath too.

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