Properties

Label 1425.2.bu
Level $1425$
Weight $2$
Character orbit 1425.bu
Rep. character $\chi_{1425}(164,\cdot)$
Character field $\Q(\zeta_{30})$
Dimension $1568$
Sturm bound $400$

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Defining parameters

Level: \( N \) \(=\) \( 1425 = 3 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1425.bu (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1425 \)
Character field: \(\Q(\zeta_{30})\)
Sturm bound: \(400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1425, [\chi])\).

Total New Old
Modular forms 1632 1632 0
Cusp forms 1568 1568 0
Eisenstein series 64 64 0

Trace form

\( 1568 q - 15 q^{3} - 198 q^{4} + 5 q^{6} - 3 q^{9} + O(q^{10}) \) \( 1568 q - 15 q^{3} - 198 q^{4} + 5 q^{6} - 3 q^{9} - 24 q^{10} - 30 q^{13} - 51 q^{15} + 170 q^{16} - 6 q^{19} + 18 q^{21} - 90 q^{22} - 48 q^{24} - 12 q^{25} + 30 q^{28} + 16 q^{30} - 15 q^{33} - 18 q^{34} - 13 q^{36} - 48 q^{39} - 42 q^{40} + 25 q^{42} - 36 q^{45} - 15 q^{48} - 1472 q^{49} - 54 q^{51} + 30 q^{52} - 19 q^{54} - 18 q^{55} + 200 q^{58} + 144 q^{60} + 6 q^{61} - 10 q^{63} + 304 q^{64} - 35 q^{66} - 30 q^{67} + 216 q^{70} + 135 q^{72} - 90 q^{73} + 24 q^{76} + 30 q^{78} - 18 q^{79} - 59 q^{81} - 2 q^{85} + 30 q^{87} + 108 q^{91} - 2 q^{96} - 30 q^{97} - 42 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1425, [\chi])\) into newform subspaces

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