Properties

Label 2541.2.ce
Level $2541$
Weight $2$
Character orbit 2541.ce
Rep. character $\chi_{2541}(4,\cdot)$
Character field $\Q(\zeta_{165})$
Dimension $14080$
Sturm bound $704$

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Defining parameters

Level: \( N \) \(=\) \( 2541 = 3 \cdot 7 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2541.ce (of order \(165\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 847 \)
Character field: \(\Q(\zeta_{165})\)
Sturm bound: \(704\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2541, [\chi])\).

Total New Old
Modular forms 28480 14080 14400
Cusp forms 27840 14080 13760
Eisenstein series 640 0 640

Trace form

\( 14080 q - 4 q^{2} - 180 q^{4} + 4 q^{5} + 8 q^{6} + 2 q^{7} - 16 q^{8} + 1760 q^{9} + O(q^{10}) \) \( 14080 q - 4 q^{2} - 180 q^{4} + 4 q^{5} + 8 q^{6} + 2 q^{7} - 16 q^{8} + 1760 q^{9} + 14 q^{10} - 20 q^{11} + 16 q^{13} + 48 q^{14} + 12 q^{15} - 168 q^{16} + 6 q^{18} - 8 q^{19} - 32 q^{20} - 36 q^{22} + 52 q^{23} - 30 q^{24} - 148 q^{25} + 8 q^{26} + 38 q^{28} + 56 q^{29} - 8 q^{30} - 6 q^{31} - 8 q^{32} + 6 q^{33} + 48 q^{34} - 36 q^{35} + 360 q^{36} - 38 q^{37} + 8 q^{38} + 222 q^{40} + 48 q^{41} - 6 q^{42} + 8 q^{43} + 48 q^{44} + 4 q^{45} + 38 q^{46} + 40 q^{47} - 158 q^{49} + 56 q^{50} - 12 q^{51} - 78 q^{52} - 84 q^{53} + 16 q^{54} + 56 q^{55} + 24 q^{56} + 16 q^{57} + 18 q^{58} - 16 q^{59} + 12 q^{60} + 18 q^{61} - 96 q^{62} + 14 q^{63} + 336 q^{64} - 16 q^{65} + 12 q^{66} + 64 q^{67} + 56 q^{68} - 16 q^{69} - 66 q^{70} - 96 q^{71} - 2 q^{72} + 6 q^{73} - 4 q^{74} - 8 q^{76} - 4 q^{77} - 24 q^{78} - 38 q^{79} + 72 q^{80} + 1760 q^{81} - 128 q^{83} + 12 q^{84} - 348 q^{85} + 26 q^{86} + 100 q^{87} + 16 q^{88} - 144 q^{89} + 52 q^{90} + 74 q^{91} + 140 q^{92} + 36 q^{93} + 404 q^{94} + 10 q^{95} - 136 q^{96} + 124 q^{97} + 240 q^{98} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2541, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2541, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2541, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 2}\)