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Properties

Label 1815.2.bh
Level $1815$
Weight $2$
Character orbit 1815.bh
Rep. character $\chi_{1815}(23,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $5200$
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.bh (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1815 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(528\)

Dimensions

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

Total New Old
Modular forms 5360 5360 0
Cusp forms 5200 5200 0
Eisenstein series 160 160 0

Trace form

\( 5200 q - 40 q^{3} - 36 q^{6} - 44 q^{7} + O(q^{10}) \) \( 5200 q - 40 q^{3} - 36 q^{6} - 44 q^{7} - 88 q^{10} + 28 q^{12} - 72 q^{13} - 18 q^{15} + 424 q^{16} - 54 q^{18} - 28 q^{21} + 44 q^{22} - 20 q^{25} - 40 q^{27} - 76 q^{28} - 38 q^{30} - 56 q^{31} + 42 q^{33} + 108 q^{36} - 20 q^{37} - 96 q^{40} - 24 q^{42} - 44 q^{43} - 140 q^{45} - 88 q^{46} - 104 q^{48} + 28 q^{51} - 132 q^{52} - 232 q^{55} + 4 q^{57} - 76 q^{58} + 50 q^{60} - 88 q^{61} + 18 q^{63} - 44 q^{66} + 12 q^{67} + 68 q^{70} - 246 q^{72} - 44 q^{73} + 14 q^{75} - 184 q^{76} + 84 q^{78} - 56 q^{81} - 68 q^{82} - 36 q^{85} - 104 q^{87} - 20 q^{88} + 192 q^{90} + 224 q^{91} - 128 q^{93} - 172 q^{96} - 108 q^{97} + O(q^{100}) \)

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.