Properties

Label 8004.2.g
Level $8004$
Weight $2$
Character orbit 8004.g
Rep. character $\chi_{8004}(5335,\cdot)$
Character field $\Q$
Dimension $720$
Sturm bound $2880$

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Defining parameters

Level: \( N \) \(=\) \( 8004 = 2^{2} \cdot 3 \cdot 23 \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8004.g (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2668 \)
Character field: \(\Q\)
Sturm bound: \(2880\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8004, [\chi])\).

Total New Old
Modular forms 1448 720 728
Cusp forms 1432 720 712
Eisenstein series 16 0 16

Decomposition of \(S_{2}^{\mathrm{new}}(8004, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8004, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8004, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2668, [\chi])\)\(^{\oplus 2}\)