The typical asking rate per listing is in the $10's per square foot per year. The East Los Angeles region is going through a an increase in rates. In the last 3 months, the median rate increased $17 per sqft per year. That's a Inf% increase in rent.
Compared to the rest of the Metropolitan Los Angeles market, the East Los Angeles submarket has less expensive rates, so you should have no trouble finding a great deal in this discounted region.
In the last 90 days, 6 listings have been listed, which means spaces are probably leasing quickly. You'll want to be prepared to tour spaces as quick as possible. There aren't many listings below 2,000 square feet available, so finding a space for a small business might be tough.
The standard measurement for office space in this area is around 740 sqft. Most properties in this area are approximately 1 stories. Most buildings in this area were built in 1948 and are Class B.