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Properties

Label 2205.4.eo
Level $2205$
Weight $4$
Character orbit 2205.eo
Rep. character $\chi_{2205}(52,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $24096$
Sturm bound $1344$

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Defining parameters

Level: \( N \) \(=\) \( 2205 = 3^{2} \cdot 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 2205.eo (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2205 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2205, [\chi])\).

Total New Old
Modular forms 24288 24288 0
Cusp forms 24096 24096 0
Eisenstein series 192 192 0

Trace form

\( 24096 q - 10 q^{2} - 22 q^{3} - 8 q^{5} - 112 q^{6} - 12 q^{7} - 72 q^{8} + O(q^{10}) \) \( 24096 q - 10 q^{2} - 22 q^{3} - 8 q^{5} - 112 q^{6} - 12 q^{7} - 72 q^{8} - 44 q^{10} - 32 q^{11} + 26 q^{12} - 14 q^{13} + 64 q^{15} + 63468 q^{16} - 188 q^{17} - 76 q^{18} - 782 q^{20} + 328 q^{21} + 22 q^{22} - 16 q^{23} - 16 q^{25} - 88 q^{26} - 856 q^{27} - 192 q^{28} + 320 q^{30} - 138 q^{32} - 22 q^{33} + 528 q^{35} + 1384 q^{36} - 52 q^{37} - 120 q^{38} - 8 q^{40} - 1264 q^{41} + 3932 q^{42} - 10 q^{43} + 5082 q^{45} + 6448 q^{46} - 14 q^{47} - 270 q^{48} + 200 q^{50} - 52 q^{51} - 776 q^{52} - 4532 q^{53} - 56 q^{55} + 528 q^{56} + 3498 q^{57} - 6600 q^{58} - 586 q^{60} - 28 q^{61} + 56 q^{62} - 1336 q^{63} - 10 q^{65} + 3288 q^{66} - 24 q^{67} + 2172 q^{68} - 512 q^{70} - 80 q^{71} + 246 q^{72} - 44 q^{73} - 13738 q^{75} + 2788 q^{76} - 2440 q^{77} - 1990 q^{78} - 456 q^{80} + 10728 q^{81} + 4 q^{82} + 602 q^{83} - 10 q^{85} - 900 q^{86} - 3658 q^{87} - 1328 q^{88} + 21884 q^{90} - 96 q^{91} - 282 q^{92} - 21550 q^{93} + 3386 q^{95} - 3164 q^{96} + 4204 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{4}^{\mathrm{new}}(2205, [\chi])\) into newform subspaces

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