Properties

Label 6003.2.m
Level 6003
Weight 2
Character orbit m
Rep. character \(\chi_{6003}(737,\cdot)\)
Character field \(\Q(\zeta_{4})\)
Dimension 440
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.m (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 87 \)
Character field: \(\Q(i)\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 1456 440 1016
Cusp forms 1424 440 984
Eisenstein series 32 0 32

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

\( S_{2}^{\mathrm{old}}(6003, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(87, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(261, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2001, [\chi])\)\(^{\oplus 2}\)