Thanks, what does ELJ stand for?
Careful - it is "EJL" not "ELJ".
Almost all types of commonly available projection (and similar) bulbs are sorted and sold by their designated 3 letter code - yours is a EJL bulb.
You can have bulbs with the same electrical specs but different sizes and shapes and connections - if they are different, they will have a different 3 letter designation.
You can see the EJL code in the photo you posted - in red letters on the side of the base. You are slightly fortunate, because it isn't always so easy to find the code on the bulb itself.
Those bulbs don't always handle long periods of inactivity well, so it isn't particularly surprising that one would stop working in those circumstances. Hopefully there isn't any problem with the power supply (which also don't like long periods of inactivity).
When you find a source, I would advise buying at least two bulbs. In my experience, bulbs always pick the least convenient time to burn out.