Properties

Label 8040.2.ea
Level $8040$
Weight $2$
Character orbit 8040.ea
Rep. character $\chi_{8040}(1651,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $5440$
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.ea (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 536 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(3264\)

Dimensions

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

Total New Old
Modular forms 16400 5440 10960
Cusp forms 16240 5440 10800
Eisenstein series 160 0 160

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

\( S_{2}^{\mathrm{old}}(8040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(536, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1608, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2680, [\chi])\)\(^{\oplus 2}\)