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Properties

Label 2541.2.e
Level $2541$
Weight $2$
Character orbit 2541.e
Rep. character $\chi_{2541}(1574,\cdot)$
Character field $\Q$
Dimension $272$
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.e (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 21 \)
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 376 308 68
Cusp forms 328 272 56
Eisenstein series 48 36 12

Trace form

\( 272 q - 248 q^{4} + 8 q^{7} + 8 q^{9} + O(q^{10}) \) \( 272 q - 248 q^{4} + 8 q^{7} + 8 q^{9} + 20 q^{15} + 200 q^{16} + 12 q^{18} + 10 q^{21} + 184 q^{25} - 12 q^{28} + 4 q^{30} - 44 q^{36} + 32 q^{37} - 16 q^{39} - 20 q^{42} + 40 q^{43} + 16 q^{46} + 8 q^{51} + 4 q^{57} + 24 q^{58} - 132 q^{60} - 6 q^{63} - 104 q^{64} - 96 q^{67} + 12 q^{70} - 24 q^{72} + 20 q^{78} - 56 q^{79} - 24 q^{81} - 100 q^{84} + 8 q^{85} + 36 q^{91} + 28 q^{93} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2541, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(21, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 2}\)