Properties

Label 4015.2.bh
Level $4015$
Weight $2$
Character orbit 4015.bh
Rep. character $\chi_{4015}(562,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $1480$
Sturm bound $888$

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Defining parameters

Level: \( N \) \(=\) \( 4015 = 5 \cdot 11 \cdot 73 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4015.bh (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 365 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(888\)

Dimensions

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

Total New Old
Modular forms 1792 1480 312
Cusp forms 1760 1480 280
Eisenstein series 32 0 32

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

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