Wikipedia had a list of all the Shuttle Missions the Challenger did and none were launched on January 29, 1984(btw the explosion happened in 1986, not 1984)
http://en.wikipedia.org/wiki/Space_Shuttle_Challenger
The closest mission I could find to January 29,1984 was this:
http://en.wikipedia.org/wiki/STS-41-B but that launched on February 3, 1984
STS-41-B is listed in your link "Space Shuttle 41-B (STS-11) Challenger launched"
Nasa's own page lists mission STS-41-B as launching on February 3, 1984
http://www.nasa.gov/mission_pages/shuttle/shuttlemissions/archives/sts-41B.html
and I can't find any shuttle mission that launched on January 29, 1984
Nasa's own page lists the mission where the Challenger exploded as happening on January 28,1986
http://www.nasa.gov/mission_pages/shuttle/shuttlemissions/archives/sts-51L.html
Finally, if you look on your source on January 28 and scroll down to 1986, you'll see the Challenger explosion listed