Properties

Label 6003.2.be
Level $6003$
Weight $2$
Character orbit 6003.be
Rep. character $\chi_{6003}(413,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $1440$
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.be (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2001 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 4368 1440 2928
Cusp forms 4272 1440 2832
Eisenstein series 96 0 96

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

\( S_{2}^{\mathrm{old}}(6003, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2001, [\chi])\)\(^{\oplus 2}\)