Properties

Label 6003.2.df
Level 6003
Weight 2
Character orbit df
Rep. character \(\chi_{6003}(10,\cdot)\)
Character field \(\Q(\zeta_{308})\)
Dimension 35760
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.df (of order \(308\) and degree \(120\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 667 \)
Character field: \(\Q(\zeta_{308})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 87360 36240 51120
Cusp forms 85440 35760 49680
Eisenstein series 1920 480 1440

Decomposition of \(S_{2}^{\mathrm{new}}(6003, [\chi])\) into irreducible Hecke orbits

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

\( S_{2}^{\mathrm{old}}(6003, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(667, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2001, [\chi])\)\(^{\oplus 2}\)