You need the standard 3GPP AT command specification.
Mobile network code example section 7.3: Get network name:
at+cops?
+COPS: 0,0,"Vodafone.de",2
OK
Set +COPS to return network code and get code:
at+cops=0,2
OK
at+cops?
+COPS: 0,2,"26202",6
LAC and Cell Id, section 7.2: Example using +CREG:
at+creg=2
OK
at+creg?
+CREG: 2,1, 2A9, EBA7011
OK
SIM security status, Section 8.3 eg:
AT+CPIN?
+CPIN: SIM PIN
SIM id number: You can read the IMSI with + CIMI, Section 5.5