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Properties

Label 2541.2.cc
Level $2541$
Weight $2$
Character orbit 2541.cc
Rep. character $\chi_{2541}(8,\cdot)$
Character field $\Q(\zeta_{110})$
Dimension $10560$
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.cc (of order \(110\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 363 \)
Character field: \(\Q(\zeta_{110})\)
Sturm bound: \(704\)

Dimensions

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

Total New Old
Modular forms 14240 10560 3680
Cusp forms 13920 10560 3360
Eisenstein series 320 0 320

Trace form

\( 10560 q - 4 q^{3} + 264 q^{4} + 10 q^{6} + 18 q^{9} + O(q^{10}) \) \( 10560 q - 4 q^{3} + 264 q^{4} + 10 q^{6} + 18 q^{9} + 54 q^{12} - 44 q^{13} + 28 q^{15} + 272 q^{16} + 10 q^{18} + 60 q^{19} + 44 q^{22} - 206 q^{24} - 264 q^{25} + 8 q^{27} + 40 q^{28} - 60 q^{30} - 72 q^{31} + 44 q^{33} - 8 q^{34} - 10 q^{36} - 4 q^{37} + 10 q^{39} + 24 q^{45} + 40 q^{46} - 28 q^{48} - 264 q^{49} + 96 q^{51} + 216 q^{52} + 148 q^{55} - 124 q^{57} - 48 q^{58} + 44 q^{60} - 40 q^{61} + 456 q^{64} - 140 q^{66} + 8 q^{67} - 36 q^{69} + 36 q^{70} - 150 q^{72} - 84 q^{73} - 2 q^{75} + 396 q^{76} - 12 q^{78} + 40 q^{79} - 10 q^{81} - 72 q^{82} - 40 q^{84} - 72 q^{85} + 552 q^{88} + 76 q^{90} - 168 q^{91} + 22 q^{93} - 160 q^{96} + 76 q^{97} + 94 q^{99} + O(q^{100}) \)

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.

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

\( S_{2}^{\mathrm{old}}(2541, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 2}\)