Properties

Label 1815.2.bn
Level $1815$
Weight $2$
Character orbit 1815.bn
Rep. character $\chi_{1815}(29,\cdot)$
Character field $\Q(\zeta_{110})$
Dimension $10400$
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.bn (of order \(110\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1815 \)
Character field: \(\Q(\zeta_{110})\)
Sturm bound: \(528\)

Dimensions

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

Total New Old
Modular forms 10720 10720 0
Cusp forms 10400 10400 0
Eisenstein series 320 320 0

Trace form

\( 10400q - 420q^{4} - 34q^{6} - 54q^{9} + O(q^{10}) \) \( 10400q - 420q^{4} - 34q^{6} - 54q^{9} - 66q^{10} - 14q^{15} + 124q^{16} - 156q^{19} - 154q^{21} - 80q^{24} - 88q^{25} - 87q^{30} - 144q^{31} - 120q^{34} - 10q^{36} - 104q^{39} - 170q^{40} - 43q^{45} - 136q^{46} + 36q^{49} - 96q^{51} - 198q^{54} - 180q^{55} - 51q^{60} - 176q^{61} - 536q^{64} - 112q^{66} - 22q^{69} - 26q^{70} - 82q^{75} - 176q^{76} - 132q^{79} + 10q^{81} - 294q^{84} - 58q^{85} - 65q^{90} - 76q^{91} - 280q^{94} + 48q^{96} - 346q^{99} + O(q^{100}) \)

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

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