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Properties

Label 2805.2.bu
Level $2805$
Weight $2$
Character orbit 2805.bu
Rep. character $\chi_{2805}(331,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $480$
Sturm bound $864$

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Defining parameters

Level: \( N \) \(=\) \( 2805 = 3 \cdot 5 \cdot 11 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2805.bu (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 17 \)
Character field: \(\Q(\zeta_{8})\)
Sturm bound: \(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2805, [\chi])\).

Total New Old
Modular forms 1760 480 1280
Cusp forms 1696 480 1216
Eisenstein series 64 0 64

Trace form

\( 480 q - 16 q^{6} + O(q^{10}) \) \( 480 q - 16 q^{6} - 32 q^{14} - 480 q^{16} + 32 q^{17} + 16 q^{24} + 32 q^{26} - 32 q^{29} - 160 q^{32} + 32 q^{33} + 16 q^{34} + 16 q^{36} + 32 q^{40} - 32 q^{41} - 32 q^{42} - 64 q^{43} + 32 q^{44} + 64 q^{46} - 16 q^{54} - 64 q^{56} + 32 q^{58} - 32 q^{59} - 16 q^{60} - 64 q^{61} + 224 q^{62} + 96 q^{67} - 160 q^{68} + 96 q^{71} + 192 q^{74} + 160 q^{76} - 64 q^{79} - 64 q^{80} + 160 q^{82} - 64 q^{86} - 128 q^{91} - 128 q^{92} - 80 q^{94} + 64 q^{96} + 64 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2805, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2805, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(51, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(85, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 2}\)