No, there is no Los Angeles County local form for an ex parte motion, nor is the a Judicial Council form for an ex parte motion for such purpose.
I am not sure why you think it is necessary to file an ex parte application to file a Notice of Pending Action (also formerly known as a Notice of Lis Pendens). Such notice normally does not require court approval. You just file and record the Notice of Pending Action after you file the Complaint.
Frank W. Chen has been licensed to practice law in California since 1988. The information presented here is general in nature and is not intended, nor should be construed, as legal advice for a particular case. This Avvo.com posting does not create any attorney-client relationship with the author. For specific advice about your particular situation, please consult with your own attorney.