I implemented global minimal models for elliptic curves over number
fields (when they exist, otherwise you can get a "semi-global minimal
model") at http://trac.sagemath.org/ticket/18662  and it would be
rather nice for it to be reviewed while 6.8 is still in the   beta
stage.

The code was tested with '0000's of curves over real quadratic fields
which are now in the lmfdb (at beta.lmfdb.org) so I am sure there are
no bugs ;)

John

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