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Properties

Label 1911.4.u
Level $1911$
Weight $4$
Character orbit 1911.u
Rep. character $\chi_{1911}(881,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $1104$
Sturm bound $1045$

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Defining parameters

Level: \( N \) \(=\) \( 1911 = 3 \cdot 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 1911.u (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 273 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(1045\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(1911, [\chi])\).

Total New Old
Modular forms 1600 1136 464
Cusp forms 1536 1104 432
Eisenstein series 64 32 32

Trace form

\( 1104 q - 2172 q^{4} + 34 q^{9} + O(q^{10}) \) \( 1104 q - 2172 q^{4} + 34 q^{9} - 294 q^{15} - 8412 q^{16} + 180 q^{22} - 25984 q^{25} - 600 q^{30} + 968 q^{36} + 180 q^{37} - 114 q^{39} - 88 q^{43} - 1968 q^{46} - 3256 q^{51} - 4092 q^{58} + 59712 q^{64} + 4416 q^{67} + 390 q^{72} + 9814 q^{78} - 1432 q^{79} + 754 q^{81} + 3804 q^{85} + 4284 q^{88} - 1206 q^{93} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces

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

Decomposition of \(S_{4}^{\mathrm{old}}(1911, [\chi])\) into lower level spaces

\( S_{4}^{\mathrm{old}}(1911, [\chi]) \cong \) \(S_{4}^{\mathrm{new}}(273, [\chi])\)\(^{\oplus 2}\)