Properties

Label 6003.2.ct
Level $6003$
Weight $2$
Character orbit 6003.ct
Rep. character $\chi_{6003}(157,\cdot)$
Character field $\Q(\zeta_{132})$
Dimension $28640$
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.ct (of order \(132\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6003 \)
Character field: \(\Q(\zeta_{132})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 28960 28960 0
Cusp forms 28640 28640 0
Eisenstein series 320 320 0

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

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