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Properties

Label 2912.2.cr
Level $2912$
Weight $2$
Character orbit 2912.cr
Rep. character $\chi_{2912}(641,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $224$
Sturm bound $896$

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Defining parameters

Level: \( N \) \(=\) \( 2912 = 2^{5} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2912.cr (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 91 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2912, [\chi])\).

Total New Old
Modular forms 928 224 704
Cusp forms 864 224 640
Eisenstein series 64 0 64

Trace form

\( 224 q - 112 q^{9} + O(q^{10}) \) \( 224 q - 112 q^{9} - 8 q^{13} + 112 q^{25} + 16 q^{49} - 8 q^{53} - 24 q^{61} + 24 q^{65} - 16 q^{69} - 24 q^{73} + 24 q^{77} - 96 q^{81} - 48 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2912, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2912, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2912, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(91, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(182, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(364, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(728, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1456, [\chi])\)\(^{\oplus 2}\)