Writing a many-to-many query for common table attributes - mysql

Question

It's been a long time since I've worked directly with MySQL, so for fun, I have a MySQL database of train information, based off the NYC Subway system. I have a Station table and Route table, and there is a many-to-many relationship between the two.
What I want to do is find out which stations two or more different routes have in common. I'm trying different join techniques but none of them seem to be working (I probably have the syntax wrong).
So for example, I want to see which stations serve both routes "1" and "2" (i.e., which stations do these routes have in common?).
mysql> describe station;
+-------+-------------+------+-----+---------+----------------+
| Field | Type | Null | Key | Default | Extra |
+-------+-------------+------+-----+---------+----------------+
| id | int(11) | NO | PRI | NULL | auto_increment |
| name | varchar(45) | YES | UNI | NULL | |
+-------+-------------+------+-----+---------+----------------+
mysql> describe route;
+-------+------------+------+-----+---------+----------------+
| Field | Type | Null | Key | Default | Extra |
+-------+------------+------+-----+---------+----------------+
| id | int(11) | NO | PRI | NULL | auto_increment |
| name | varchar(4) | YES | | NULL | |
+-------+------------+------+-----+---------+----------------+
The table between them is called RouteStation that has ID's for each of the two tables.
The query I want is to find the names of the stations that serve any group of routes. So in this example, I want to find the names of the stations that serve both routes "1" and "2".
SELECT Station.name FROM Station
JOIN RouteStation ON (Station.id = RouteStation.stationId)
JOIN Route ON (Route.id = RouteStation.routeId)
WHERE Route.name = "1" AND Route.name = "2";
I know there is probably an issue with the last part because it's not possible for the route name to be "1" and "2" at the same time, but I hope that the gist of what I'm looking for is clear enough.
EDIT: RouteStation schema:
mysql> describe routestation;
+-----------+---------+------+-----+---------+-------+
| Field | Type | Null | Key | Default | Extra |
+-----------+---------+------+-----+---------+-------+
| stationId | int(11) | NO | MUL | NULL | |
| routeId | int(11) | NO | MUL | NULL | |
+-----------+---------+------+-----+---------+-------+

Answer 1

Can you try this one:
SELECT name
FROM station
WHERE id IN (
SELECT RS.stationId
FROM RouteStation RS
WHERE RS.routeId IN (1, 2)
GROUP BY RS.stationId
HAVING COUNT(RS.routeId) > 1
)
Instead of using AND, you should use the OR keyword: routeId = 1 OR routeId = 2. It is the same with IN keyword.
After that, we used GROUP BY stationId so we can COUNT the routeIds because we need only the stations which are HAVING more than 1 routes.