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Properties

Label 2805.2.ej
Level $2805$
Weight $2$
Character orbit 2805.ej
Rep. character $\chi_{2805}(257,\cdot)$
Character field $\Q(\zeta_{40})$
Dimension $6784$
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.ej (of order \(40\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2805 \)
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 7040 0
Cusp forms 6784 6784 0
Eisenstein series 256 256 0

Trace form

\( 6784 q - 12 q^{3} - 1664 q^{4} - 24 q^{6} - 24 q^{7} + O(q^{10}) \) \( 6784 q - 12 q^{3} - 1664 q^{4} - 24 q^{6} - 24 q^{7} - 32 q^{10} + 8 q^{12} - 16 q^{13} - 12 q^{15} - 1696 q^{16} - 24 q^{18} - 32 q^{22} - 24 q^{25} - 12 q^{27} + 72 q^{28} + 32 q^{30} - 16 q^{31} - 32 q^{33} + 64 q^{34} + 40 q^{36} - 56 q^{37} + 96 q^{39} - 8 q^{40} - 72 q^{42} - 32 q^{45} - 48 q^{46} + 28 q^{48} - 32 q^{49} - 8 q^{51} + 176 q^{52} + 32 q^{54} - 8 q^{55} + 12 q^{57} + 8 q^{58} + 36 q^{60} - 48 q^{61} + 44 q^{63} - 1808 q^{64} - 32 q^{66} - 192 q^{67} - 56 q^{70} + 160 q^{72} - 88 q^{73} - 36 q^{75} - 40 q^{78} - 144 q^{79} - 24 q^{82} + 88 q^{85} + 32 q^{88} - 308 q^{90} + 96 q^{91} + 64 q^{94} + 136 q^{96} - 56 q^{97} - 48 q^{99} + O(q^{100}) \)

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.