Properties

Label 2541.2.bt
Level 2541
Weight 2
Character orbit 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

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

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

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

Hecke Characteristic Polynomials

There are no characteristic polynomials of Hecke operators in the database