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Properties

Label 1911.4.dy
Level $1911$
Weight $4$
Character orbit 1911.dy
Rep. character $\chi_{1911}(269,\cdot)$
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.dy (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

\( 9360 q - 4 q^{3} + 6198 q^{4} - 55 q^{6} - 40 q^{7} - 8 q^{9} + O(q^{10}) \) \( 9360 q - 4 q^{3} + 6198 q^{4} - 55 q^{6} - 40 q^{7} - 8 q^{9} - 8 q^{10} - 46 q^{12} + 62 q^{13} - 32 q^{15} - 24618 q^{16} + 28 q^{18} + 198 q^{19} - 11 q^{21} + 84 q^{22} + 299 q^{24} + 19048 q^{25} - 28 q^{27} + 752 q^{28} + 57 q^{30} - 582 q^{31} - 592 q^{33} - 56 q^{34} + 369 q^{36} - 290 q^{37} + 531 q^{39} - 422 q^{40} - 742 q^{42} + 186 q^{43} + 273 q^{45} - 558 q^{46} + 306 q^{48} - 86 q^{49} + 322 q^{51} - 3062 q^{52} - 7 q^{54} + 1096 q^{55} + 115 q^{57} - 48 q^{58} - 361 q^{60} + 6626 q^{61} - 962 q^{63} + 98960 q^{64} + 2649 q^{66} + 614 q^{67} - 9673 q^{69} - 4406 q^{70} - 504 q^{72} + 1666 q^{73} + 10157 q^{75} - 2670 q^{76} - 2261 q^{78} - 934 q^{79} + 6040 q^{81} - 18812 q^{82} - 5476 q^{84} + 916 q^{85} + 721 q^{87} + 224 q^{88} + 2156 q^{90} + 2030 q^{91} + 1853 q^{93} - 17102 q^{94} - 14202 q^{96} - 24 q^{97} - 1506 q^{99} + O(q^{100}) \)

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.