I took an online course from a company based in England. Can I claim an education credit for this? No Form 1098-T was issued.

The American opportunity and lifetime learning credits apply only for qualified expenses required for an enrollment at an “eligible education institution.” This is a school eligible to participate in a student aid program administered by the U.S. Department of Education, which means virtually all accredited postsecondary institutions in the U.S. Educational institutions located outside the United States that are eligible to participate in a student aid program administered by the U.S. Department of Education may qualify, so check with the school through which you took the courses.