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Properties

Label 2541.2.bt
Level $2541$
Weight $2$
Character orbit 2541.bt
Rep. character $\chi_{2541}(89,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $6960$
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.bt (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2541 \)
Character field: \(\Q(\zeta_{66})\)
Sturm bound: \(704\)

Dimensions

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

Total New Old
Modular forms 7120 7120 0
Cusp forms 6960 6960 0
Eisenstein series 160 160 0

Trace form

\( 6960 q - 60 q^{3} - 362 q^{4} - 40 q^{7} - 24 q^{9} + O(q^{10}) \) \( 6960 q - 60 q^{3} - 362 q^{4} - 40 q^{7} - 24 q^{9} - 15 q^{12} - 18 q^{15} + 326 q^{16} - 37 q^{18} - 54 q^{19} - 41 q^{21} - 176 q^{22} + 30 q^{24} + 310 q^{25} - 20 q^{28} - 57 q^{30} - 42 q^{31} - 33 q^{33} + 12 q^{36} - 26 q^{37} - 4 q^{39} - 192 q^{40} + 57 q^{42} - 104 q^{43} + 21 q^{45} - 26 q^{46} + 40 q^{49} - 17 q^{51} - 264 q^{52} + 297 q^{54} - 102 q^{57} + 74 q^{58} - 64 q^{60} - 54 q^{61} - 6 q^{63} + 240 q^{64} - 102 q^{66} + 14 q^{67} + 64 q^{70} + 41 q^{72} - 6 q^{73} - 75 q^{75} - 54 q^{78} - 18 q^{79} - 48 q^{81} + 42 q^{82} - 51 q^{84} + 168 q^{85} + 48 q^{87} - 10 q^{88} - 84 q^{91} - 28 q^{93} - 180 q^{94} - 15 q^{96} - 242 q^{99} + O(q^{100}) \)

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.