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Properties

Label 2805.2.bp
Level $2805$
Weight $2$
Character orbit 2805.bp
Rep. character $\chi_{2805}(637,\cdot)$
Character field $\Q(\zeta_{8})$
Dimension $864$
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.bp (of order \(8\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 935 \)
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 864 896
Cusp forms 1696 864 832
Eisenstein series 64 0 64

Trace form

\( 864 q - 864 q^{4} - 16 q^{5} + O(q^{10}) \) \( 864 q - 864 q^{4} - 16 q^{5} + 864 q^{16} + 64 q^{20} - 16 q^{22} - 64 q^{23} + 16 q^{25} + 32 q^{26} - 32 q^{31} - 8 q^{33} + 32 q^{34} - 32 q^{37} + 16 q^{45} - 32 q^{49} + 8 q^{55} - 112 q^{58} - 960 q^{64} - 16 q^{66} + 64 q^{67} + 176 q^{70} + 64 q^{71} - 32 q^{75} - 160 q^{80} + 112 q^{82} - 128 q^{86} - 40 q^{88} - 64 q^{89} + 240 q^{92} + 192 q^{93} - 32 q^{97} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(935, [\chi])\)\(^{\oplus 2}\)