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Properties

Label 1911.4.ba
Level $1911$
Weight $4$
Character orbit 1911.ba
Rep. character $\chi_{1911}(1403,\cdot)$
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.ba (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

\( 1104 q + 6 q^{3} - 2172 q^{4} - 62 q^{9} + O(q^{10}) \) \( 1104 q + 6 q^{3} - 2172 q^{4} - 62 q^{9} + 12 q^{10} - 42 q^{12} - 8412 q^{16} - 600 q^{22} + 13004 q^{25} + 12 q^{30} + 2444 q^{36} + 642 q^{39} - 924 q^{40} + 1496 q^{43} + 452 q^{51} + 516 q^{52} + 4524 q^{61} + 61656 q^{64} - 378 q^{66} + 1800 q^{75} - 1508 q^{78} - 5392 q^{79} + 1354 q^{81} - 4440 q^{82} - 780 q^{87} + 2868 q^{88} + 192 q^{94} + O(q^{100}) \)

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

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