Properties

Label 6004.2.dp
Level $6004$
Weight $2$
Character orbit 6004.dp
Rep. character $\chi_{6004}(7,\cdot)$
Character field $\Q(\zeta_{78})$
Dimension $19104$
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.dp (of order \(78\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 6004 \)
Character field: \(\Q(\zeta_{78})\)
Sturm bound: \(1600\)

Dimensions

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

Total New Old
Modular forms 19296 19296 0
Cusp forms 19104 19104 0
Eisenstein series 192 192 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.