Properties

Label 2352.1.l
Level $2352$
Weight $1$
Character orbit 2352.l
Rep. character $\chi_{2352}(1273,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $448$
Trace bound $0$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 2352 = 2^{4} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2352.l (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 56 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(448\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2352, [\chi])\).

Total New Old
Modular forms 40 0 40
Cusp forms 8 0 8
Eisenstein series 32 0 32

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 \(S_{1}^{\mathrm{old}}(2352, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(2352, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(56, [\chi])\)\(^{\oplus 8}\)