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Properties

Label 1911.2.dr
Level $1911$
Weight $2$
Character orbit 1911.dr
Rep. character $\chi_{1911}(101,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $3084$
Sturm bound $522$

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Defining parameters

Level: \( N \) \(=\) \( 1911 = 3 \cdot 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1911.dr (of order \(42\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1911 \)
Character field: \(\Q(\zeta_{42})\)
Sturm bound: \(522\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1911, [\chi])\).

Total New Old
Modular forms 3180 3180 0
Cusp forms 3084 3084 0
Eisenstein series 96 96 0

Trace form

\( 3084 q - 7 q^{3} + 236 q^{4} - 21 q^{6} - 35 q^{7} - 5 q^{9} + O(q^{10}) \) \( 3084 q - 7 q^{3} + 236 q^{4} - 21 q^{6} - 35 q^{7} - 5 q^{9} - 14 q^{10} - 16 q^{12} - 38 q^{13} - 6 q^{15} + 222 q^{16} - 24 q^{18} - 86 q^{19} - 9 q^{21} + 4 q^{22} + 3 q^{24} - 291 q^{25} - 28 q^{27} - 50 q^{28} - 66 q^{30} + 29 q^{31} + 9 q^{33} - 24 q^{34} - 3 q^{36} - 113 q^{37} - 17 q^{39} - 2 q^{40} - 25 q^{42} - 6 q^{43} + 87 q^{45} - 6 q^{46} - 42 q^{48} - 5 q^{49} - 26 q^{51} + 38 q^{52} - 30 q^{54} + 28 q^{55} - 63 q^{57} - 42 q^{58} + 9 q^{60} + 7 q^{61} - 12 q^{63} - 436 q^{64} + 51 q^{66} + 38 q^{69} + 126 q^{70} - 21 q^{72} - 22 q^{73} - q^{75} - 26 q^{76} + 37 q^{78} - 7 q^{79} - 9 q^{81} + 126 q^{82} - 33 q^{84} - 144 q^{85} + 46 q^{87} - 50 q^{88} - 182 q^{90} - 229 q^{91} + 63 q^{93} - 126 q^{94} - 24 q^{96} + 7 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1911, [\chi])\) into newform subspaces

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