European beech vs Fagus sylvatica

European beech and Fagus sylvatica both are nouns.

Word	Noun	Adjective	Verb	Adverb
European beech	Yes	No	No	No
Fagus sylvatica	Yes	No	No	No

As nouns, European beech and Fagus sylvatica are synonyms defined as:

European beech and Fagus sylvatica: large European beech with minutely-toothed leaves; widely planted as an ornamental in North America

Other synonyms of European beech include common beech.

European beech (noun)	Fagus sylvatica (noun)
large European beech with minutely-toothed leaves; widely planted as an ornamental in North America	large European beech with minutely-toothed leaves; widely planted as an ornamental in North America