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Properties

Label 2805.2.dk
Level $2805$
Weight $2$
Character orbit 2805.dk
Rep. character $\chi_{2805}(149,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $3392$
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.dk (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2805 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(864\)

Dimensions

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

Total New Old
Modular forms 3520 3520 0
Cusp forms 3392 3392 0
Eisenstein series 128 128 0

Trace form

\( 3392 q - 880 q^{4} - 20 q^{6} + O(q^{10}) \) \( 3392 q - 880 q^{4} - 20 q^{6} - 784 q^{16} + 20 q^{24} - 20 q^{30} - 40 q^{31} - 48 q^{34} + 60 q^{39} + 60 q^{40} + 4 q^{45} - 100 q^{51} - 12 q^{55} - 80 q^{61} - 824 q^{64} - 24 q^{69} + 6 q^{75} - 80 q^{79} + 120 q^{84} + 180 q^{85} - 80 q^{90} + 64 q^{91} + 80 q^{96} + 48 q^{99} + O(q^{100}) \)

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.