LEVEL 3

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GRITSENKO LIFTS

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Number of wt 2 Gritsenko lifts: 0

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WEIGHT 4 CUSP FORMS

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The weight 4 space of cusp forms (and the plus and minus parts) have dimensions:
     dim S⁴(K(3)) = 0
     dim S⁴(K(3))⁺ = 0
     dim S⁴(K(3))^- = 0

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PROVING UPPER BOUND ON NUMBER OF WEIGHT 2 NONLIFTS

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We claim:
     At most number of wt 2 plus nonlifts: 0
     At most number of wt 2 minus nonlifts: 0
Because wt 4 cusp forms have 0 dimension, then necessarily wt 2 cusp forms must have 0 dimension, and in particular, no wt 2 nonlifts.