Do I need to report Coverdell ESA contribution to IRS?

Can I get clarification ?  I have the following questions:

 

1.  Is Education Savings IRA the same as Coverdell ESA?  Schwab calls it the former.

 

2.  I contributed to Education Savings IRA account last year.  I have not received any official form from Schwab such as a 1099 to file with my tax return.  Do I need to report the contributions somehow to the IRS?

 

3.  Searching online, I came across the form 5498-ESA.  Do I need to fill this out if I don't have any distributions?