Properties

Label 6041.2.m
Level $6041$
Weight $2$
Character orbit 6041.m
Rep. character $\chi_{6041}(2,\cdot)$
Character field $\Q(\zeta_{1293})$
Dimension $493640$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 6041 = 7 \cdot 863 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6041.m (of order \(1293\) and degree \(860\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6041 \)
Character field: \(\Q(\zeta_{1293})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6041, [\chi])\).

Total New Old
Modular forms 497080 497080 0
Cusp forms 493640 493640 0
Eisenstein series 3440 3440 0

Decomposition of \(S_{2}^{\mathrm{new}}(6041, [\chi])\) into newform subspaces

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