Properties

Label 4200.2.bm
Level $4200$
Weight $2$
Character orbit 4200.bm
Rep. character $\chi_{4200}(3107,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1136$
Sturm bound $1920$

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Defining parameters

Level: \( N \) \(=\) \( 4200 = 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4200.bm (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 840 \)
Character field: \(\Q(i)\)
Sturm bound: \(1920\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4200, [\chi])\).

Total New Old
Modular forms 1968 1168 800
Cusp forms 1872 1136 736
Eisenstein series 96 32 64

Decomposition of \(S_{2}^{\mathrm{new}}(4200, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4200, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(840, [\chi])\)\(^{\oplus 2}\)