Properties

Label 5915.2.cl
Level $5915$
Weight $2$
Character orbit 5915.cl
Rep. character $\chi_{5915}(89,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $2384$
Sturm bound $1456$

Related objects

Downloads

Learn more

Defining parameters

Level: \( N \) \(=\) \( 5915 = 5 \cdot 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5915.cl (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 455 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1456\)

Dimensions

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

Total New Old
Modular forms 3024 2544 480
Cusp forms 2800 2384 416
Eisenstein series 224 160 64

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

\( S_{2}^{\mathrm{old}}(5915, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(455, [\chi])\)\(^{\oplus 2}\)