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Properties

Label 1911.4.dp
Level $1911$
Weight $4$
Character orbit 1911.dp
Rep. character $\chi_{1911}(38,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $9360$
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.dp (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1911 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(1045\)

Dimensions

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

Total New Old
Modular forms 9456 9456 0
Cusp forms 9360 9360 0
Eisenstein series 96 96 0

Trace form

\( 9360 q - 22 q^{3} + 3052 q^{4} - 26 q^{9} + O(q^{10}) \) \( 9360 q - 22 q^{3} + 3052 q^{4} - 26 q^{9} - 44 q^{10} - 70 q^{12} - 28 q^{13} + 12268 q^{16} - 608 q^{22} - 19152 q^{25} - 28 q^{27} - 222 q^{30} + 504 q^{36} + 100 q^{39} - 980 q^{40} - 1660 q^{42} + 1248 q^{43} + 3700 q^{49} - 428 q^{51} - 7688 q^{52} - 56 q^{55} - 3288 q^{61} - 94352 q^{64} + 3444 q^{66} + 10892 q^{69} + 6854 q^{75} - 2366 q^{78} + 844 q^{79} - 17778 q^{81} + 7684 q^{82} + 2104 q^{87} + 4204 q^{88} - 13118 q^{90} + 19050 q^{91} - 17336 q^{94} + O(q^{100}) \)

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.