Properties

Label 6003.2.cq
Level $6003$
Weight $2$
Character orbit 6003.cq
Rep. character $\chi_{6003}(47,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $15840$
Sturm bound $1440$

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Defining parameters

Level: \( N \) \(=\) \( 6003 = 3^{2} \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6003.cq (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 261 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6003, [\chi])\).

Total New Old
Modular forms 17376 15840 1536
Cusp forms 17184 15840 1344
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{new}}(6003, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6003, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6003, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(261, [\chi])\)\(^{\oplus 2}\)