Properties

Label 6004.2.ev
Level $6004$
Weight $2$
Character orbit 6004.ev
Rep. character $\chi_{6004}(51,\cdot)$
Character field $\Q(\zeta_{234})$
Dimension $57312$
Sturm bound $1600$

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Defining parameters

Level: \( N \) \(=\) \( 6004 = 2^{2} \cdot 19 \cdot 79 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6004.ev (of order \(234\) and degree \(72\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6004 \)
Character field: \(\Q(\zeta_{234})\)
Sturm bound: \(1600\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6004, [\chi])\).

Total New Old
Modular forms 57888 57888 0
Cusp forms 57312 57312 0
Eisenstein series 576 576 0

Decomposition of \(S_{2}^{\mathrm{new}}(6004, [\chi])\) into newform subspaces

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