Properties

Label 16.1
Level 16
Weight 1
Dimension 0
Nonzero newspaces 0
Newform subspaces 0
Sturm bound 16

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Defining parameters

Level: \( N \) = \( 16 = 2^{4} \)
Weight: \( k \) = \( 1 \)
Nonzero newspaces: \( 0 \)
Newform subspaces: \( 0 \)
Sturm bound: \(16\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(\Gamma_1(16))\).

Total New Old
Modular forms 7 2 5
Cusp forms 0 0 0
Eisenstein series 7 2 5

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

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database