Properties

Label 1911.4.dr
Level $1911$
Weight $4$
Character orbit 1911.dr
Rep. character $\chi_{1911}(101,\cdot)$
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.dr (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

\( 9360 q - 7 q^{3} + 3088 q^{4} - 21 q^{6} - 18 q^{7} - 5 q^{9} + O(q^{10}) \) \( 9360 q - 7 q^{3} + 3088 q^{4} - 21 q^{6} - 18 q^{7} - 5 q^{9} - 14 q^{10} + 2 q^{12} + 62 q^{13} + 66 q^{15} + 12256 q^{16} + 120 q^{18} + 180 q^{19} - 81 q^{21} - 104 q^{22} + 147 q^{24} - 19152 q^{25} - 28 q^{27} - 684 q^{28} - 342 q^{30} - 330 q^{31} + 729 q^{33} - 96 q^{34} - 291 q^{36} - 2304 q^{37} + 100 q^{39} + 2674 q^{40} + 533 q^{42} + 186 q^{43} + 402 q^{45} - 666 q^{46} - 402 q^{48} - 896 q^{49} - 266 q^{51} + 6652 q^{52} - 174 q^{54} + 376 q^{55} - 567 q^{57} - 42 q^{58} - 639 q^{60} + 13314 q^{61} - 2190 q^{63} - 93488 q^{64} + 1545 q^{66} - 2041 q^{69} + 6786 q^{70} - 21 q^{72} - 594 q^{73} + 4409 q^{75} - 2106 q^{76} - 3557 q^{78} + 550 q^{79} - 4401 q^{81} + 12166 q^{82} + 6141 q^{84} + 3744 q^{85} + 574 q^{87} + 3478 q^{88} + 19600 q^{90} + 16188 q^{91} + 639 q^{93} + 8722 q^{94} - 672 q^{96} + 1848 q^{97} + O(q^{100}) \)

Decomposition of \(S_{4}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.