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Properties

Label 1911.2.dc
Level $1911$
Weight $2$
Character orbit 1911.dc
Rep. character $\chi_{1911}(230,\cdot)$
Character field $\Q(\zeta_{42})$
Dimension $3096$
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.dc (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 3192 3192 0
Cusp forms 3096 3096 0
Eisenstein series 96 96 0

Trace form

\( 3096 q - 7 q^{3} - 266 q^{4} - 7 q^{6} - 9 q^{7} - 5 q^{9} + O(q^{10}) \) \( 3096 q - 7 q^{3} - 266 q^{4} - 7 q^{6} - 9 q^{7} - 5 q^{9} - 14 q^{10} - 28 q^{12} - 28 q^{13} + q^{15} + 234 q^{16} - 56 q^{18} - 2 q^{21} + 18 q^{22} - 7 q^{24} - 532 q^{25} - 28 q^{27} - 10 q^{28} + 30 q^{30} - 7 q^{33} - 56 q^{34} + 9 q^{36} - 20 q^{37} - 36 q^{39} - 56 q^{40} - 37 q^{42} - 32 q^{43} - 42 q^{45} + 26 q^{46} - 31 q^{49} - 8 q^{51} - 126 q^{52} - 7 q^{54} - 14 q^{55} - 50 q^{57} + 6 q^{58} - 4 q^{60} + 35 q^{61} - 14 q^{63} + 384 q^{64} - 168 q^{66} + 18 q^{67} - 91 q^{69} + 148 q^{70} - 57 q^{72} - 56 q^{73} - 49 q^{75} - 126 q^{76} - 44 q^{78} - 140 q^{79} + 31 q^{81} + 126 q^{82} + 11 q^{84} + 26 q^{85} + 49 q^{87} - 106 q^{88} - 70 q^{90} + 7 q^{91} + 104 q^{93} - 126 q^{94} - 504 q^{96} - 12 q^{99} + O(q^{100}) \)

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.