Properties

Label 6004.2.cx
Level $6004$
Weight $2$
Character orbit 6004.cx
Rep. character $\chi_{6004}(761,\cdot)$
Character field $\Q(\zeta_{39})$
Dimension $2880$
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.cx (of order \(39\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 79 \)
Character field: \(\Q(\zeta_{39})\)
Sturm bound: \(1600\)

Dimensions

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

Total New Old
Modular forms 19344 2880 16464
Cusp forms 19056 2880 16176
Eisenstein series 288 0 288

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(6004, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6004, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(79, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(158, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(316, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1501, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3002, [\chi])\)\(^{\oplus 2}\)