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Properties

Label 2541.2.p
Level $2541$
Weight $2$
Character orbit 2541.p
Rep. character $\chi_{2541}(241,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $288$
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.p (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 77 \)
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 752 288 464
Cusp forms 656 288 368
Eisenstein series 96 0 96

Trace form

\( 288 q + 148 q^{4} + 12 q^{5} + 144 q^{9} + O(q^{10}) \) \( 288 q + 148 q^{4} + 12 q^{5} + 144 q^{9} + 48 q^{14} - 8 q^{15} - 132 q^{16} - 24 q^{23} + 160 q^{25} + 24 q^{26} + 12 q^{31} + 296 q^{36} + 28 q^{37} - 24 q^{38} + 32 q^{42} + 12 q^{45} - 36 q^{47} + 32 q^{49} - 32 q^{53} + 88 q^{56} - 28 q^{58} + 96 q^{59} + 12 q^{60} - 320 q^{64} - 16 q^{67} - 16 q^{70} - 104 q^{71} - 48 q^{75} + 72 q^{78} - 24 q^{80} - 144 q^{81} + 72 q^{82} - 72 q^{86} - 72 q^{89} - 36 q^{91} + 16 q^{92} - 52 q^{93} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2541, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 2}\)