Properties

Label 2805.2.cl
Level $2805$
Weight $2$
Character orbit 2805.cl
Rep. character $\chi_{2805}(596,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1024$
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.cl (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 33 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 1760 1024 736
Cusp forms 1696 1024 672
Eisenstein series 64 0 64

Trace form

\( 1024 q - 256 q^{4} + O(q^{10}) \) \( 1024 q - 256 q^{4} - 320 q^{16} + 32 q^{22} + 256 q^{25} + 24 q^{27} + 160 q^{28} - 4 q^{33} + 8 q^{36} - 60 q^{39} + 148 q^{42} + 172 q^{48} + 256 q^{49} - 32 q^{58} - 84 q^{60} - 80 q^{61} - 160 q^{63} - 420 q^{64} - 4 q^{66} + 128 q^{67} - 12 q^{69} - 36 q^{70} + 120 q^{72} - 80 q^{73} - 96 q^{78} + 320 q^{79} - 56 q^{81} + 152 q^{82} + 120 q^{84} - 248 q^{88} + 96 q^{91} - 108 q^{93} - 160 q^{94} - 20 q^{96} - 32 q^{97} + 4 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2805, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(33, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(561, [\chi])\)\(^{\oplus 2}\)