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Properties

Label 3381.2.ci
Level $3381$
Weight $2$
Character orbit 3381.ci
Rep. character $\chi_{3381}(11,\cdot)$
Character field $\Q(\zeta_{462})$
Dimension $53280$
Sturm bound $896$

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Defining parameters

Level: \( N \) \(=\) \( 3381 = 3 \cdot 7^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3381.ci (of order \(462\) and degree \(120\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3381 \)
Character field: \(\Q(\zeta_{462})\)
Sturm bound: \(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3381, [\chi])\).

Total New Old
Modular forms 54240 54240 0
Cusp forms 53280 53280 0
Eisenstein series 960 960 0

Trace form

\( 53280 q - 117 q^{3} + 206 q^{4} - 78 q^{6} - 264 q^{7} - 85 q^{9} + O(q^{10}) \) \( 53280 q - 117 q^{3} + 206 q^{4} - 78 q^{6} - 264 q^{7} - 85 q^{9} - 286 q^{10} - 101 q^{12} - 180 q^{13} - 110 q^{15} - 658 q^{16} - 54 q^{18} - 132 q^{19} - 198 q^{21} - 282 q^{24} - 662 q^{25} - 225 q^{27} - 264 q^{28} - 66 q^{30} - 108 q^{31} - 143 q^{33} - 220 q^{34} - 74 q^{36} - 286 q^{37} - 135 q^{39} - 286 q^{40} - 132 q^{42} - 220 q^{43} - 102 q^{46} - 24 q^{48} - 12 q^{49} - 143 q^{51} - 86 q^{52} - 161 q^{54} - 316 q^{55} - 110 q^{57} - 710 q^{58} - 143 q^{60} - 374 q^{61} - 187 q^{63} - 996 q^{64} - 176 q^{66} - 132 q^{67} - 32 q^{69} - 768 q^{70} - 29 q^{72} - 210 q^{73} - 249 q^{75} - 220 q^{76} - 608 q^{78} - 88 q^{79} - 453 q^{81} - 98 q^{82} - 198 q^{84} - 172 q^{85} - 201 q^{87} - 374 q^{88} - 154 q^{90} + 104 q^{93} - 498 q^{94} - 663 q^{96} - 528 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3381, [\chi])\) into newform subspaces

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