Properties

Label 8040.2.br
Level $8040$
Weight $2$
Character orbit 8040.br
Rep. character $\chi_{8040}(403,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $1584$
Sturm bound $3264$

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Defining parameters

Level: \( N \) \(=\) \( 8040 = 2^{3} \cdot 3 \cdot 5 \cdot 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8040.br (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 40 \)
Character field: \(\Q(i)\)
Sturm bound: \(3264\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8040, [\chi])\).

Total New Old
Modular forms 3280 1584 1696
Cusp forms 3248 1584 1664
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{new}}(8040, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8040, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(120, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(40, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2680, [\chi])\)\(^{\oplus 2}\)