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Properties

Label 2541.2.bv
Level $2541$
Weight $2$
Character orbit 2541.bv
Rep. character $\chi_{2541}(32,\cdot)$
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.bv (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

\( 6960 q - 20 q^{3} + 326 q^{4} - 88 q^{6} - 44 q^{7} - 16 q^{9} + O(q^{10}) \) \( 6960 q - 20 q^{3} + 326 q^{4} - 88 q^{6} - 44 q^{7} - 16 q^{9} - 44 q^{10} + 49 q^{12} - 88 q^{13} - 54 q^{15} + 342 q^{16} - 55 q^{18} - 22 q^{19} + 11 q^{21} + 24 q^{22} + 22 q^{24} - 330 q^{25} - 92 q^{27} - 44 q^{28} + 55 q^{30} - 22 q^{31} - 55 q^{33} - 136 q^{34} - 4 q^{36} - 26 q^{37} - 44 q^{39} - 141 q^{42} - 88 q^{43} - 135 q^{45} - 22 q^{46} + 86 q^{48} + 40 q^{49} + 11 q^{51} - 88 q^{52} - 143 q^{54} + 22 q^{57} - 110 q^{58} + 70 q^{60} - 22 q^{61} + 110 q^{63} - 544 q^{64} - 2 q^{66} - 50 q^{67} - 82 q^{69} + 40 q^{70} + 77 q^{72} - 22 q^{73} + 9 q^{75} - 88 q^{76} - 178 q^{78} + 22 q^{79} - 32 q^{81} - 34 q^{82} + 11 q^{84} - 352 q^{85} + 22 q^{87} - 6 q^{88} + 154 q^{90} - 116 q^{91} + 32 q^{93} - 77 q^{96} - 16 q^{97} - 222 q^{99} + O(q^{100}) \)

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.