Properties

Label 6003.2.i
Level 6003
Weight 2
Character orbit i
Rep. character \(\chi_{6003}(2002,\cdot)\)
Character field \(\Q(\zeta_{3})\)
Dimension 1232
Sturm bound 1440

Related objects

Downloads

Learn more about

Defining parameters

Level: \( N \) = \( 6003 = 3^{2} \cdot 23 \cdot 29 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 6003.i (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 9 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 1448 1232 216
Cusp forms 1432 1232 200
Eisenstein series 16 0 16

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

\( S_{2}^{\mathrm{old}}(6003, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(207, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(261, [\chi])\)\(^{\oplus 2}\)