Properties

Label 5040.2.ii
Level $5040$
Weight $2$
Character orbit 5040.ii
Rep. character $\chi_{5040}(1343,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $1152$
Sturm bound $2304$

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Defining parameters

Level: \( N \) \(=\) \( 5040 = 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5040.ii (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1260 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(2304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5040, [\chi])\).

Total New Old
Modular forms 4704 1152 3552
Cusp forms 4512 1152 3360
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{new}}(5040, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(5040, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1260, [\chi])\)\(^{\oplus 3}\)