Trenitalia, the national rail service with all the national routes;
Trenitalia- find out the schedule of Italian trains
and book a ticket in advance.
You will probably be confused with the terminology,
so here are the abbreviated forms you will find on the Trenitalia site:.
It is very
convenient to use a special application for the smartphone" Trenitalia", it is very convenient
and comfortable to travel with it.
Trenitalia, or you can take a printout in the centers for tourists,
which are located at each railway station of the Cinque Terre.
These fast trains operated by Italo and Trenitalia(Frecciargento and Frecciarosa)
depart approximately every half hour and are priced around 30 euros, depending on the anticipation with which you buy the tickets.
Traveling in groups and on special days lowers the price significantly for the train ticket(yes, you can actually get a discount on your ticket to,
say, Trenitalia if you go on weekends).