Learning rate in logistic regression with sklearn
sklearn.linear_model.LogisticRegression doesn't use SGD, so there's no learning rate.

I think sklearn.linear_model.SGDClassifier is what you need, which is a linear classifier with SGD training.

References

http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html

http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.SGDClassifier.html