Properties

Label 2805.2.g
Level 2805
Weight 2
Character orbit g
Rep. character \(\chi_{2805}(1189,\cdot)\)
Character field \(\Q\)
Dimension 184
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.g (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 85 \)
Character field: \(\Q\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 440 184 256
Cusp forms 424 184 240
Eisenstein series 16 0 16

Trace form

\( 184q - 200q^{4} + 184q^{9} + O(q^{10}) \) \( 184q - 200q^{4} + 184q^{9} + 232q^{16} + 16q^{19} - 24q^{25} - 48q^{26} + 32q^{30} + 24q^{34} + 16q^{35} - 200q^{36} + 200q^{49} - 16q^{50} + 8q^{51} + 16q^{59} - 296q^{64} - 16q^{66} - 32q^{70} - 16q^{76} + 184q^{81} + 64q^{84} - 24q^{85} - 64q^{86} - 144q^{94} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(85, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(935, [\chi])\)\(^{\oplus 2}\)