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Properties

Label 1911.4.ee
Level $1911$
Weight $4$
Character orbit 1911.ee
Rep. character $\chi_{1911}(44,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $18720$
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.ee (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1911 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(1045\)

Dimensions

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

Total New Old
Modular forms 18912 18912 0
Cusp forms 18720 18720 0
Eisenstein series 192 192 0

Trace form

\( 18720 q - 52 q^{3} + 12 q^{6} + 44 q^{7} - 52 q^{9} + O(q^{10}) \) \( 18720 q - 52 q^{3} + 12 q^{6} + 44 q^{7} - 52 q^{9} - 40 q^{13} + 88 q^{15} - 24680 q^{16} - 92 q^{18} + 220 q^{19} - 118 q^{21} - 80 q^{22} - 240 q^{24} - 592 q^{27} + 1192 q^{28} - 412 q^{31} - 486 q^{33} - 824 q^{34} - 2628 q^{37} + 28 q^{39} - 640 q^{40} - 3496 q^{42} + 674 q^{45} + 304 q^{46} + 120 q^{48} + 15644 q^{52} - 162 q^{54} + 400 q^{55} + 250 q^{57} - 84 q^{58} - 1060 q^{60} + 88 q^{61} + 2994 q^{63} + 4696 q^{66} - 332 q^{67} + 7784 q^{70} - 3018 q^{72} - 2304 q^{73} - 10632 q^{76} + 5940 q^{78} - 384 q^{79} + 844 q^{81} - 9290 q^{84} - 4736 q^{85} - 6784 q^{87} - 5428 q^{91} + 3212 q^{93} + 44512 q^{94} + 10462 q^{96} + 6800 q^{97} + 2868 q^{99} + O(q^{100}) \)

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.