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Properties

Label 2541.2.ci
Level $2541$
Weight $2$
Character orbit 2541.ci
Rep. character $\chi_{2541}(5,\cdot)$
Character field $\Q(\zeta_{330})$
Dimension $27840$
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.ci (of order \(330\) and degree \(80\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2541 \)
Character field: \(\Q(\zeta_{330})\)
Sturm bound: \(704\)

Dimensions

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

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

Trace form

\( 27840 q - 90 q^{3} + 262 q^{4} - 160 q^{7} - 36 q^{9} + O(q^{10}) \) \( 27840 q - 90 q^{3} + 262 q^{4} - 160 q^{7} - 36 q^{9} - 270 q^{10} - 120 q^{12} - 162 q^{15} - 426 q^{16} - 13 q^{18} - 246 q^{19} - 49 q^{21} - 284 q^{22} - 180 q^{24} - 390 q^{25} - 150 q^{28} + 37 q^{30} - 228 q^{31} - 192 q^{33} - 212 q^{36} - 74 q^{37} - 86 q^{39} - 198 q^{40} - 17 q^{42} - 256 q^{43} - 156 q^{45} - 34 q^{46} - 200 q^{49} + 7 q^{51} - 36 q^{52} - 432 q^{54} - 178 q^{57} - 104 q^{58} - 136 q^{60} - 246 q^{61} - 84 q^{63} - 720 q^{64} - 168 q^{66} - 104 q^{67} - 124 q^{70} - 151 q^{72} - 294 q^{73} - 195 q^{75} - 126 q^{78} - 162 q^{79} - 72 q^{81} - 342 q^{82} - 154 q^{84} - 368 q^{85} - 333 q^{87} - 170 q^{88} - 56 q^{91} - 37 q^{93} - 360 q^{94} - 45 q^{96} + 122 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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