I made trac ticket #31400 for this.   There are some really serious 
problems caused by someone thinking that the height of a point in 
projective space is the max of the heights of its *projective* coordinates, 
which is wrong (and not well-defined).

On Monday, February 15, 2021 at 2:21:21 AM UTC [email protected] wrote:

> This Ask Sage question reports a possible bug
> in computing the height of rational points:
>
> Height of rational points
> https://ask.sagemath.org/question/55698
>

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