Properties

Label 2520.1.ic
Level $2520$
Weight $1$
Character orbit 2520.ic
Rep. character $\chi_{2520}(223,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $0$
Newform subspaces $0$
Sturm bound $576$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2520.ic (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1260 \)
Character field: \(\Q(\zeta_{12})\)
Newform subspaces: \( 0 \)
Sturm bound: \(576\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2520, [\chi])\).

Total New Old
Modular forms 96 0 96
Cusp forms 32 0 32
Eisenstein series 64 0 64

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 \(S_{1}^{\mathrm{old}}(2520, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(2520, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(1260, [\chi])\)\(^{\oplus 2}\)