Properties

Label 2015.1.g
Level 2015
Weight 1
Character orbit g
Rep. character \(\chi_{2015}(1301,\cdot)\)
Character field \(\Q\)
Dimension 0
Newform subspaces 0
Sturm bound 224
Trace bound 0

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Defining parameters

Level: \( N \) \(=\) \( 2015 = 5 \cdot 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2015.g (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 31 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(224\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2015, [\chi])\).

Total New Old
Modular forms 8 0 8
Cusp forms 4 0 4
Eisenstein series 4 0 4

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 \(S_{1}^{\mathrm{old}}(2015, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(2015, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(31, [\chi])\)\(^{\oplus 4}\)

Hecke characteristic polynomials

There are no characteristic polynomials of Hecke operators in the database