Scikit Learn Pca Dimension Reduction - Data Lot Of Features And Few Samples

I am trying to do a dimension reduction using PCA from scikit-learn. My data set has around 300 samples and 4096 features. I want to reduce the dimensions to 400 and 40. But when I

Solution 1:

The maximum number of principal components that can be extracted from and M x N dataset is min(M, N). Its not an algorithm issue. Fundamentally, that is the maximum number that there are.