Properties

Label 5915.2.gj
Level $5915$
Weight $2$
Character orbit 5915.gj
Rep. character $\chi_{5915}(31,\cdot)$
Character field $\Q(\zeta_{156})$
Dimension $23232$
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.gj (of order \(156\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1183 \)
Character field: \(\Q(\zeta_{156})\)
Sturm bound: \(1456\)

Dimensions

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

Total New Old
Modular forms 35136 23232 11904
Cusp forms 34752 23232 11520
Eisenstein series 384 0 384

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

\( S_{2}^{\mathrm{old}}(5915, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1183, [\chi])\)\(^{\oplus 2}\)