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Properties

Label 1911.4.dv
Level $1911$
Weight $4$
Character orbit 1911.dv
Rep. character $\chi_{1911}(62,\cdot)$
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.dv (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

\( 9360 q - 7 q^{3} + 3094 q^{4} - 21 q^{6} - 18 q^{7} - 5 q^{9} + O(q^{10}) \) \( 9360 q - 7 q^{3} + 3094 q^{4} - 21 q^{6} - 18 q^{7} - 5 q^{9} - 14 q^{10} - 28 q^{12} - 28 q^{13} - 177 q^{15} + 12310 q^{16} + 178 q^{22} - 21 q^{24} + 38160 q^{25} - 28 q^{27} + 168 q^{28} - 18 q^{30} - 21 q^{33} + 399 q^{36} - 4230 q^{37} - 656 q^{39} - 56 q^{40} + 1067 q^{42} - 150 q^{43} - 441 q^{45} - 1290 q^{46} - 1886 q^{49} - 1304 q^{51} + 1372 q^{52} - 21 q^{54} - 14 q^{55} - 30 q^{58} + 3864 q^{61} - 1866 q^{63} - 101912 q^{64} - 7728 q^{66} + 3540 q^{67} - 5467 q^{69} - 15 q^{72} + 5075 q^{75} - 42 q^{76} + 5788 q^{78} - 2840 q^{79} - 4401 q^{81} + 12166 q^{82} + 3891 q^{84} - 4050 q^{85} + 721 q^{87} + 3574 q^{88} - 6566 q^{90} + 15804 q^{91} + 84 q^{93} + 8722 q^{94} + O(q^{100}) \)

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.