Properties

Label 1815.2.bd
Level $1815$
Weight $2$
Character orbit 1815.bd
Rep. character $\chi_{1815}(164,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $2600$
Sturm bound $528$

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Defining parameters

Level: \( N \) \(=\) \( 1815 = 3 \cdot 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1815.bd (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1815 \)
Character field: \(\Q(\zeta_{22})\)
Sturm bound: \(528\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1815, [\chi])\).

Total New Old
Modular forms 2680 2680 0
Cusp forms 2600 2600 0
Eisenstein series 80 80 0

Trace form

\( 2600q + 220q^{4} - 66q^{6} - 36q^{9} + O(q^{10}) \) \( 2600q + 220q^{4} - 66q^{6} - 36q^{9} - 44q^{10} - 36q^{15} - 284q^{16} - 44q^{19} + 44q^{21} - 42q^{25} + 22q^{30} - 36q^{31} - 60q^{34} - 130q^{36} + 44q^{39} - 2q^{45} - 44q^{46} - 316q^{49} - 44q^{51} + 88q^{54} + 60q^{55} - 4q^{60} - 44q^{61} + 156q^{64} + 92q^{66} - 88q^{69} - 14q^{70} - 8q^{75} - 44q^{76} - 88q^{79} - 20q^{81} + 44q^{84} - 22q^{85} - 110q^{90} - 64q^{91} - 88q^{96} + 106q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1815, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.