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Decomposition of \( S_{2}^{\mathrm{old}}(22) \) into lower level spaces

\( S_{2}^{\mathrm{old}}(22) \) \(\cong\) $ \href{ /ModularForm/GL2/Q/holomorphic/11/2/1/ }{ S^{ new }_{ 2 }(\Gamma_0(11)) }^{\oplus 2 } $