AN LGT ACR FAILED TO GET A PROPER PRE-DEP CLRNC AND DEP CTL FREQ PRIOR TO TKOF. THEY THEN OVERSHOT THEIR ALT IN THE INITIAL CLB.

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DURING PREFLT; WE RECEIVED A PRE-DEP CLRNC WHICH HAD NO SPECIFIC SID OR DEP FREQ BUT DID SPECIFY THE CARDI 2 ARR INTO SAN FROM LAX. I BELIEVED THAT; SINCE IT WAS SIMPLY INTERCEPTING THE LAX 118 DEG RADIAL OUT; THAT TWR WOULD EITHER ASSIGN US AN ALT FOR TKOF OR WE WOULD BE CLRED TO OUR FILED ALT OF 11000 FT AND A DEP FREQ ASSIGNED. WHEN CLRED FOR TKOF WITH NO INFO GIVEN. I QUERIED TWR FOR AN ALT AND FREQ. WAS TOLD TO CLB TO 2000 FT AND CONTACT DEP ON FREQ. SHORTLY AFTER TKOF WE WERE TOLD TO FLY THE LAXX 1 SID AND CONTACT DEP. WHILE THE CAPT FLEW; I LOOKED UP THE SID IN MY BOOK. AT THIS TIME; THE ENGINEER WAS DEALING WITH THE UNUSUAL PROCS OF TKOF WITHOUT AN OPERATING GENERATOR SINCE OUR FLAPS WERE UP AND THE ACFT WAS FLYING NORMALLY. WHILE THE CAPT AND I WERE VERBALIZING THE SID; WE ALLOWED THE ACFT TO REACH 2500- 2700 FT ALT. AT THAT TIME; DEP CLRED US TO 11000 FT. NO TFC WAS SEEN OR INVOLVED. RESEARCHING THE PRE-DEP CLRNC (WRITTEN) AFTER THE FACT INDICATED THE FULL CLRNC; I.E.; THE SID; HAD BEEN INADVERTENTLY LEFT OFF. PROBLEM WAS CONFOUNDED BY INOP GENERATOR; RECEIVING INSTRUCTIONS TO FLY A SPECIFIC SID IMMEDIATELY AFTER TKOF AND PLAIN MURPHY'S LAW. I WILL ALWAYS HAVE A SPECIFIC ALT AND FREQ FOR ALL FUTURE TKOF OR ASK BEFORE TAKING THE ACTIVE RWY.