Properties

Label 4015.2.dc
Level $4015$
Weight $2$
Character orbit 4015.dc
Rep. character $\chi_{4015}(408,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $2960$
Sturm bound $888$

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Defining parameters

Level: \( N \) \(=\) \( 4015 = 5 \cdot 11 \cdot 73 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4015.dc (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 365 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(888\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4015, [\chi])\).

Total New Old
Modular forms 3584 2960 624
Cusp forms 3520 2960 560
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(4015, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4015, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4015, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(365, [\chi])\)\(^{\oplus 2}\)