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Properties

Label 1911.2.ei
Level $1911$
Weight $2$
Character orbit 1911.ei
Rep. character $\chi_{1911}(73,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $3120$
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.ei (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 637 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(522\)

Dimensions

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

Total New Old
Modular forms 6384 3120 3264
Cusp forms 6192 3120 3072
Eisenstein series 192 0 192

Trace form

\( 3120 q + 2 q^{7} - 260 q^{9} + O(q^{10}) \) \( 3120 q + 2 q^{7} - 260 q^{9} - 8 q^{11} + 72 q^{14} - 248 q^{16} + 30 q^{19} - 8 q^{21} + 16 q^{22} - 48 q^{24} + 60 q^{26} - 100 q^{28} + 16 q^{29} + 6 q^{31} - 20 q^{32} - 112 q^{34} + 96 q^{35} + 56 q^{37} - 16 q^{39} - 120 q^{40} - 24 q^{42} + 440 q^{44} + 8 q^{46} - 84 q^{47} - 432 q^{50} - 24 q^{52} + 24 q^{53} - 168 q^{55} + 12 q^{57} - 152 q^{59} + 20 q^{60} - 72 q^{61} + 12 q^{63} + 10 q^{67} - 72 q^{68} - 36 q^{70} - 184 q^{71} + 138 q^{73} - 128 q^{74} - 8 q^{79} + 12 q^{80} + 260 q^{81} - 20 q^{84} + 56 q^{85} - 192 q^{86} - 72 q^{87} - 48 q^{89} + 178 q^{91} + 144 q^{92} - 6 q^{93} + 112 q^{94} + 36 q^{96} + 688 q^{98} - 16 q^{99} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(1911, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1911, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(637, [\chi])\)\(^{\oplus 2}\)