page 1: Why is there a colon after "Background", but not after everything else? page 2: "new form" --> "newform", "eigen form" --> "eigenform" "eigen" is not an English word, but "eigenform" is an English word, in the sense that it appears in technical math dictionaries. page 2: Why ask the question only for ell>2? Doesn't the QUESTION make sense even when ell=2? page 2: Explain why you call exception the situation where the image is A_4, S_4, or A_5! Why isn't dihedral also exceptional? Why not other groups??? page 2: The line breaks in the reminder are weird. Why isn't "there" on the first line? page 2: In Reminder: You haven't said what k is. It sounds like modular demands that the weight be k--but what is k. page 3: I would put a zero in the lower left corner. Space before the line "Where chi is the..." page 4: What is "Li"? What is eta? ... skip proof; I don't have enough time to read it now. Example 3: Why do you only say "expected"? Is it not known, due to work of Mestre?