Apex domains cannot have CNAME records.
Question and response
Question
dig la. NS
Answer
la. 5 NS ns1.nic.la.
la. 5 NS ns3.nic.la.
la. 5 NS ns2.nic.la.
la. 5 NS ns4.nic.la.
Authority
The response has no authority records.
Additional
ns1.nic.la. 126131 A 185.24.64.15
ns2.nic.la. 126131 A 194.169.218.14
ns3.nic.la. 126131 A 185.24.64.14
ns4.nic.la. 126131 A 194.169.218.15
ns1.nic.la. 126131 AAAA 2a04:2b00:13cc:0:0:0:1:15
ns2.nic.la. 126131 AAAA 2001:67c:13cc:0:0:0:1:14
ns3.nic.la. 126131 AAAA 2a04:2b00:13cc:0:0:0:1:14
ns4.nic.la. 126131 AAAA 2001:67c:13cc:0:0:0:1:15
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0