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Properties

Label 2541.2.g
Level $2541$
Weight $2$
Character orbit 2541.g
Rep. character $\chi_{2541}(1814,\cdot)$
Character field $\Q$
Dimension $216$
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.g (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 33 \)
Character field: \(\Q\)
Sturm bound: \(704\)

Dimensions

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

Total New Old
Modular forms 376 216 160
Cusp forms 328 216 112
Eisenstein series 48 0 48

Trace form

\( 216 q + 8 q^{3} + 216 q^{4} - 12 q^{9} + O(q^{10}) \) \( 216 q + 8 q^{3} + 216 q^{4} - 12 q^{9} + 28 q^{12} + 16 q^{15} + 248 q^{16} - 240 q^{25} + 8 q^{27} + 32 q^{31} + 8 q^{34} + 4 q^{36} + 8 q^{37} + 12 q^{45} + 68 q^{48} - 216 q^{49} - 56 q^{58} - 20 q^{60} + 304 q^{64} + 16 q^{67} - 64 q^{69} + 32 q^{70} - 68 q^{75} + 28 q^{78} - 4 q^{81} - 16 q^{82} - 24 q^{91} - 40 q^{93} + O(q^{100}) \)

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

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