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Properties

Label 2805.2.ev
Level $2805$
Weight $2$
Character orbit 2805.ev
Rep. character $\chi_{2805}(127,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $3456$
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.ev (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 935 \)
Character field: \(\Q(\zeta_{40})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 7040 3456 3584
Cusp forms 6784 3456 3328
Eisenstein series 256 0 256

Trace form

\( 3456 q + 864 q^{4} + 16 q^{5} - 40 q^{7} + O(q^{10}) \) \( 3456 q + 864 q^{4} + 16 q^{5} - 40 q^{7} - 864 q^{16} - 64 q^{20} + 16 q^{22} + 64 q^{23} - 16 q^{25} - 32 q^{26} + 32 q^{31} + 8 q^{33} + 128 q^{34} + 32 q^{37} - 16 q^{45} + 32 q^{49} + 160 q^{52} - 8 q^{55} - 80 q^{57} + 112 q^{58} - 40 q^{63} + 720 q^{64} - 64 q^{66} - 64 q^{67} - 176 q^{70} - 64 q^{71} + 32 q^{75} - 80 q^{79} - 240 q^{80} - 112 q^{82} - 240 q^{85} + 128 q^{86} + 40 q^{88} + 64 q^{89} - 240 q^{92} + 288 q^{93} + 40 q^{95} + 32 q^{97} + O(q^{100}) \)

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

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