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Properties

Label 2541.2.u
Level $2541$
Weight $2$
Character orbit 2541.u
Rep. character $\chi_{2541}(251,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $1088$
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.u (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 231 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(704\)

Dimensions

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

Total New Old
Modular forms 1504 1216 288
Cusp forms 1312 1088 224
Eisenstein series 192 128 64

Trace form

\( 1088 q + 268 q^{4} + 2 q^{7} + 12 q^{9} + O(q^{10}) \) \( 1088 q + 268 q^{4} + 2 q^{7} + 12 q^{9} - 180 q^{16} - 2 q^{18} - 184 q^{25} - 8 q^{28} - 24 q^{30} + 54 q^{36} - 12 q^{37} + 66 q^{39} + 50 q^{42} - 36 q^{46} - 30 q^{49} - 38 q^{51} + 86 q^{57} + 136 q^{58} - 8 q^{60} - 44 q^{63} + 204 q^{64} - 224 q^{67} - 142 q^{70} - 86 q^{72} + 20 q^{78} + 156 q^{79} - 76 q^{81} + 30 q^{84} - 8 q^{85} - 86 q^{91} - 48 q^{93} + O(q^{100}) \)

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

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