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Properties

Label 2541.2.y
Level $2541$
Weight $2$
Character orbit 2541.y
Rep. character $\chi_{2541}(232,\cdot)$
Character field $\Q(\zeta_{11})$
Dimension $1320$
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.y (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 121 \)
Character field: \(\Q(\zeta_{11})\)
Sturm bound: \(704\)

Dimensions

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

Total New Old
Modular forms 3560 1320 2240
Cusp forms 3480 1320 2160
Eisenstein series 80 0 80

Trace form

\( 1320 q + 4 q^{2} - 128 q^{4} + 4 q^{7} + 12 q^{8} + 1320 q^{9} + O(q^{10}) \) \( 1320 q + 4 q^{2} - 128 q^{4} + 4 q^{7} + 12 q^{8} + 1320 q^{9} + 16 q^{10} + 8 q^{11} + 16 q^{12} - 72 q^{13} + 4 q^{14} + 8 q^{15} - 104 q^{16} + 8 q^{17} + 4 q^{18} + 8 q^{19} + 40 q^{20} + 4 q^{21} - 8 q^{22} - 28 q^{23} - 116 q^{25} + 40 q^{26} + 12 q^{28} + 16 q^{29} + 32 q^{30} - 12 q^{31} + 108 q^{32} + 8 q^{33} + 56 q^{34} - 128 q^{36} + 32 q^{37} + 96 q^{38} + 32 q^{39} + 144 q^{40} + 8 q^{41} + 72 q^{43} + 66 q^{44} + 104 q^{46} + 64 q^{47} + 64 q^{48} - 132 q^{49} - 372 q^{50} + 24 q^{51} - 24 q^{52} + 48 q^{53} - 96 q^{55} - 118 q^{56} + 32 q^{57} + 2 q^{58} + 56 q^{59} + 32 q^{60} + 40 q^{61} - 108 q^{62} + 4 q^{63} - 92 q^{64} - 92 q^{65} + 40 q^{66} - 52 q^{67} + 88 q^{68} + 8 q^{69} - 36 q^{70} - 120 q^{71} + 12 q^{72} + 4 q^{73} + 72 q^{74} + 48 q^{75} - 76 q^{76} + 16 q^{77} - 180 q^{78} - 80 q^{79} + 136 q^{80} + 1320 q^{81} + 16 q^{82} + 112 q^{83} + 12 q^{84} + 64 q^{86} + 40 q^{87} + 100 q^{88} + 32 q^{89} + 16 q^{90} + 96 q^{92} + 40 q^{93} - 232 q^{94} + 152 q^{95} + 40 q^{96} + 24 q^{97} - 18 q^{98} + 8 q^{99} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2541, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 2}\)