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Properties

Label 1476.2.bv
Level $1476$
Weight $2$
Character orbit 1476.bv
Rep. character $\chi_{1476}(23,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1984$
Sturm bound $504$

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Defining parameters

Level: \( N \) \(=\) \( 1476 = 2^{2} \cdot 3^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1476.bv (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1476 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(504\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1476, [\chi])\).

Total New Old
Modular forms 2048 2048 0
Cusp forms 1984 1984 0
Eisenstein series 64 64 0

Trace form

\( 1984 q - 9 q^{2} - 3 q^{4} - 18 q^{5} - 20 q^{6} - 28 q^{9} + O(q^{10}) \) \( 1984 q - 9 q^{2} - 3 q^{4} - 18 q^{5} - 20 q^{6} - 28 q^{9} - 4 q^{10} + 5 q^{12} - 10 q^{13} - 3 q^{16} - 6 q^{18} - 9 q^{20} + 14 q^{21} - 5 q^{22} + 20 q^{24} - 238 q^{25} - 20 q^{28} + 30 q^{29} - 40 q^{30} + 36 q^{32} - 76 q^{33} - 5 q^{34} + 40 q^{36} - 24 q^{37} - 18 q^{40} + 6 q^{41} + 12 q^{42} - 26 q^{45} - 20 q^{46} - 25 q^{48} + 218 q^{49} + 6 q^{50} - 5 q^{52} - 20 q^{54} + 195 q^{56} - 76 q^{57} - 50 q^{58} + 75 q^{60} - 6 q^{61} + 42 q^{64} - 30 q^{65} - 53 q^{66} - 50 q^{69} + 45 q^{70} + 90 q^{72} - 40 q^{73} - 39 q^{74} - 5 q^{76} - 18 q^{77} + 32 q^{78} - 12 q^{81} + 6 q^{82} - 88 q^{84} + 81 q^{86} - 5 q^{88} + 30 q^{90} - 240 q^{92} + 10 q^{93} - 50 q^{94} - 10 q^{97} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1476, [\chi])\) into newform subspaces

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