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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

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

Display 100 coefficients 10 coefficients

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

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