Properties

Label 5915.2.gq
Level $5915$
Weight $2$
Character orbit 5915.gq
Rep. character $\chi_{5915}(3,\cdot)$
Character field $\Q(\zeta_{156})$
Dimension $34752$
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.gq (of order \(156\) and degree \(48\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5915 \)
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 35136 0
Cusp forms 34752 34752 0
Eisenstein series 384 384 0

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

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