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Properties

Label 2296.2.bs
Level $2296$
Weight $2$
Character orbit 2296.bs
Rep. character $\chi_{2296}(489,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $336$
Sturm bound $672$

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Defining parameters

Level: \( N \) \(=\) \( 2296 = 2^{3} \cdot 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2296.bs (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 287 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2296, [\chi])\).

Total New Old
Modular forms 1376 336 1040
Cusp forms 1312 336 976
Eisenstein series 64 0 64

Trace form

\( 336 q + 16 q^{9} + O(q^{10}) \) \( 336 q + 16 q^{9} - 8 q^{21} - 8 q^{35} - 16 q^{43} + 48 q^{49} - 64 q^{57} + 40 q^{63} - 64 q^{65} + 16 q^{67} - 64 q^{71} - 8 q^{77} - 64 q^{85} + 72 q^{91} + 48 q^{95} + 16 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2296, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2296, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2296, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(287, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(574, [\chi])\)\(^{\oplus 3}\)