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Properties

Label 2527.2.bn
Level $2527$
Weight $2$
Character orbit 2527.bn
Rep. character $\chi_{2527}(64,\cdot)$
Character field $\Q(\zeta_{57})$
Dimension $6840$
Sturm bound $506$

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Defining parameters

Level: \( N \) \(=\) \( 2527 = 7 \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2527.bn (of order \(57\) and degree \(36\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 361 \)
Character field: \(\Q(\zeta_{57})\)
Sturm bound: \(506\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2527, [\chi])\).

Total New Old
Modular forms 9144 6840 2304
Cusp forms 9000 6840 2160
Eisenstein series 144 0 144

Trace form

\( 6840 q + 2 q^{2} - 40 q^{3} + 186 q^{4} - 6 q^{6} - 12 q^{8} + 70 q^{9} + O(q^{10}) \) \( 6840 q + 2 q^{2} - 40 q^{3} + 186 q^{4} - 6 q^{6} - 12 q^{8} + 70 q^{9} - 4 q^{10} + 4 q^{11} + 12 q^{12} + 8 q^{13} + 4 q^{14} + 178 q^{16} - 28 q^{17} + 4 q^{18} + 20 q^{19} - 12 q^{20} + 4 q^{21} - 176 q^{22} - 20 q^{24} + 180 q^{25} + 28 q^{26} + 92 q^{27} - 30 q^{29} - 244 q^{30} + 24 q^{32} + 152 q^{33} - 6 q^{34} - 2 q^{35} + 160 q^{36} + 4 q^{37} + 76 q^{38} - 88 q^{39} - 2 q^{41} + 164 q^{43} + 12 q^{44} - 202 q^{45} + 48 q^{46} - 114 q^{47} - 44 q^{48} - 380 q^{49} - 108 q^{50} - 170 q^{51} + 6 q^{52} + 14 q^{53} - 18 q^{54} - 6 q^{55} - 24 q^{56} + 16 q^{57} + 20 q^{58} - 12 q^{59} - 82 q^{60} + 24 q^{61} - 32 q^{62} + 4 q^{63} - 372 q^{64} - 76 q^{65} - 42 q^{66} - 2 q^{67} - 12 q^{68} - 312 q^{69} - 12 q^{70} + 8 q^{71} - 6 q^{72} - 24 q^{73} - 300 q^{74} - 48 q^{75} - 168 q^{76} + 8 q^{77} - 254 q^{78} + 22 q^{79} - 722 q^{80} - 112 q^{81} - 2 q^{82} - 26 q^{83} + 4 q^{84} - 24 q^{85} - 28 q^{86} + 68 q^{87} - 24 q^{88} - 20 q^{89} - 24 q^{90} + 8 q^{91} - 48 q^{92} + 12 q^{93} + 24 q^{94} + 98 q^{95} - 284 q^{96} - 44 q^{97} + 2 q^{98} - 12 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2527, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.

Decomposition of \(S_{2}^{\mathrm{old}}(2527, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2527, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(361, [\chi])\)\(^{\oplus 2}\)