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Properties

Label 1425.2.bz
Level $1425$
Weight $2$
Character orbit 1425.bz
Rep. character $\chi_{1425}(221,\cdot)$
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.bz (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

\( 1568 q - 9 q^{3} + 186 q^{4} - 11 q^{6} - 64 q^{7} - 3 q^{9} + O(q^{10}) \) \( 1568 q - 9 q^{3} + 186 q^{4} - 11 q^{6} - 64 q^{7} - 3 q^{9} - 24 q^{10} - 18 q^{13} + 45 q^{15} + 186 q^{16} - 6 q^{19} - 36 q^{21} - 78 q^{22} - 28 q^{24} + 4 q^{25} - 46 q^{28} - 28 q^{30} - 63 q^{33} - 18 q^{34} - 25 q^{36} - 24 q^{39} - 6 q^{40} - 9 q^{42} - 36 q^{43} + 156 q^{45} - 39 q^{48} + 1280 q^{49} + 6 q^{51} + 18 q^{52} - 11 q^{54} - 26 q^{55} - 136 q^{57} - 184 q^{58} - 96 q^{60} - 18 q^{61} - 72 q^{63} - 320 q^{64} + 5 q^{66} - 66 q^{67} - 240 q^{70} + 201 q^{72} + 58 q^{73} - 120 q^{76} - 18 q^{78} - 18 q^{79} + 53 q^{81} - 80 q^{82} - 62 q^{85} - 246 q^{87} - 132 q^{90} - 144 q^{91} + 6 q^{93} - 22 q^{96} + 6 q^{97} - 42 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

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