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Properties

Label 2541.2.l
Level $2541$
Weight $2$
Character orbit 2541.l
Rep. character $\chi_{2541}(725,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $544$
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.l (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 231 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(704\)

Dimensions

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

Total New Old
Modular forms 752 608 144
Cusp forms 656 544 112
Eisenstein series 96 64 32

Trace form

\( 544 q + 2 q^{3} - 252 q^{4} + 6 q^{9} + O(q^{10}) \) \( 544 q + 2 q^{3} - 252 q^{4} + 6 q^{9} - 16 q^{12} + 12 q^{15} - 196 q^{16} + 232 q^{25} - 4 q^{27} - 144 q^{34} - 8 q^{36} + 4 q^{37} - 136 q^{42} - 24 q^{45} + 184 q^{48} + 12 q^{49} - 32 q^{58} + 8 q^{60} + 104 q^{64} - 32 q^{67} + 28 q^{69} + 108 q^{70} + 14 q^{75} - 180 q^{78} + 6 q^{81} + 20 q^{82} - 112 q^{91} - 40 q^{93} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2541, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 2}\)