Properties

Label 6498.2.bm
Level $6498$
Weight $2$
Character orbit 6498.bm
Rep. character $\chi_{6498}(7,\cdot)$
Character field $\Q(\zeta_{57})$
Dimension $13680$
Sturm bound $2280$

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Defining parameters

Level: \( N \) \(=\) \( 6498 = 2 \cdot 3^{2} \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6498.bm (of order \(57\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3249 \)
Character field: \(\Q(\zeta_{57})\)
Sturm bound: \(2280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6498, [\chi])\).

Total New Old
Modular forms 41184 13680 27504
Cusp forms 40896 13680 27216
Eisenstein series 288 0 288

Decomposition of \(S_{2}^{\mathrm{new}}(6498, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6498, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6498, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3249, [\chi])\)\(^{\oplus 2}\)