Apex domains cannot have CNAME records.
Question and response
Question
dig eeghlan.net. NS
Answer
eeghlan.net. 5 NS ns-479.awsdns-59.com.
eeghlan.net. 5 NS ns-964.awsdns-56.net.
eeghlan.net. 5 NS ns-1346.awsdns-40.org.
eeghlan.net. 5 NS ns-1726.awsdns-23.co.uk.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0