Properties

Label 154.1
Level 154
Weight 1
Dimension 0
Nonzero newspaces 0
Newform subspaces 0
Sturm bound 1440

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Defining parameters

Level: \( N \) = \( 154 = 2 \cdot 7 \cdot 11 \)
Weight: \( k \) = \( 1 \)
Nonzero newspaces: \( 0 \)
Newform subspaces: \( 0 \)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(154))\).

Total New Old
Modular forms 128 0 128
Cusp forms 8 0 8
Eisenstein series 120 0 120

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 0 0 0 0

Decomposition of \(S_{1}^{\mathrm{old}}(\Gamma_1(154))\) into lower level spaces

\( S_{1}^{\mathrm{old}}(\Gamma_1(154)) \cong \) \(S_{1}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 8}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(2))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(7))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(11))\)\(^{\oplus 4}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(14))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(22))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(77))\)\(^{\oplus 2}\)\(\oplus\)\(S_{1}^{\mathrm{new}}(\Gamma_1(154))\)\(^{\oplus 1}\)