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Properties

Label 3381.2.ca
Level $3381$
Weight $2$
Character orbit 3381.ca
Rep. character $\chi_{3381}(113,\cdot)$
Character field $\Q(\zeta_{154})$
Dimension $26640$
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.ca (of order \(154\) and degree \(60\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3381 \)
Character field: \(\Q(\zeta_{154})\)
Sturm bound: \(896\)

Dimensions

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

Total New Old
Modular forms 27120 27120 0
Cusp forms 26640 26640 0
Eisenstein series 480 480 0

Trace form

\( 26640 q - 45 q^{3} - 530 q^{4} - 57 q^{6} - 132 q^{7} - 65 q^{9} + O(q^{10}) \) \( 26640 q - 45 q^{3} - 530 q^{4} - 57 q^{6} - 132 q^{7} - 65 q^{9} - 110 q^{10} - 49 q^{12} - 90 q^{13} - 55 q^{15} + 358 q^{16} - 84 q^{18} - 264 q^{19} - 99 q^{21} - 120 q^{24} + 338 q^{25} + 90 q^{27} - 132 q^{28} - 132 q^{30} - 216 q^{31} - 55 q^{33} - 110 q^{34} - 61 q^{36} - 110 q^{37} - 81 q^{39} - 110 q^{40} - 66 q^{42} - 110 q^{43} - 12 q^{46} - 108 q^{48} - 144 q^{49} - 55 q^{51} - 286 q^{52} - 25 q^{54} - 194 q^{55} - 55 q^{57} - 286 q^{58} - 55 q^{60} - 22 q^{61} - 11 q^{63} - 522 q^{64} - 121 q^{66} - 264 q^{67} - 124 q^{69} + 251 q^{72} - 42 q^{73} + 33 q^{75} - 110 q^{76} + 401 q^{78} - 176 q^{79} + 39 q^{81} - 22 q^{82} - 98 q^{85} - 237 q^{87} - 286 q^{88} - 11 q^{90} - 80 q^{93} + 54 q^{94} - 87 q^{96} - 264 q^{97} - 396 q^{99} + O(q^{100}) \)

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.