Properties

Label 5915.2.dz
Level $5915$
Weight $2$
Character orbit 5915.dz
Rep. character $\chi_{5915}(64,\cdot)$
Character field $\Q(\zeta_{26})$
Dimension $6576$
Sturm bound $1456$

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Defining parameters

Level: \( N \) \(=\) \( 5915 = 5 \cdot 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5915.dz (of order \(26\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 845 \)
Character field: \(\Q(\zeta_{26})\)
Sturm bound: \(1456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5915, [\chi])\).

Total New Old
Modular forms 8784 6576 2208
Cusp forms 8688 6576 2112
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{new}}(5915, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5915, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5915, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 2}\)