e-mail vs telecommunicate

e-mail is a noun but telecommunicate is not a noun.

Word	Noun	Adjective	Verb	Adverb
e-mail	Yes	No	Yes	No
telecommunicate	No	No	Yes	No

As verbs, telecommunicate is a hypernym of e-mail; that is, telecommunicate is a word with a broader meaning than e-mail:

e-mail: communicate electronically on the computer
telecommunicate: communicate over long distances, as via the telephone or e-mail

e-mail (noun)	telecommunicate (noun)
(computer science) a system of world-wide electronic communication in which a computer user can compose a message at one terminal that can be regenerated at the recipient's terminal when the recipient logs in

e-mail (verb)	telecommunicate (verb)
communicate electronically on the computer	communicate over long distances, as via the telephone or e-mail