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Properties

Label 1425.2.q
Level $1425$
Weight $2$
Character orbit 1425.q
Rep. character $\chi_{1425}(1076,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $240$
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.q (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 57 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(400\)

Dimensions

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

Total New Old
Modular forms 424 264 160
Cusp forms 376 240 136
Eisenstein series 48 24 24

Trace form

\( 240 q + 6 q^{3} - 112 q^{4} - 6 q^{6} - 2 q^{9} + O(q^{10}) \) \( 240 q + 6 q^{3} - 112 q^{4} - 6 q^{6} - 2 q^{9} + 24 q^{13} - 100 q^{16} + 16 q^{19} + 24 q^{22} - 18 q^{24} + 16 q^{28} - 24 q^{33} - 48 q^{34} + 34 q^{36} - 4 q^{39} + 6 q^{42} - 32 q^{43} + 172 q^{49} - 18 q^{51} - 36 q^{52} - 46 q^{54} + 16 q^{57} + 32 q^{58} + 2 q^{61} + 16 q^{63} + 144 q^{64} + 20 q^{66} - 36 q^{67} - 78 q^{72} - 124 q^{76} - 12 q^{78} + 60 q^{79} - 62 q^{81} - 44 q^{82} - 44 q^{87} + 126 q^{91} + 12 q^{93} + 100 q^{96} + 60 q^{97} - 22 q^{99} + O(q^{100}) \)

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.

Decomposition of \(S_{2}^{\mathrm{old}}(1425, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1425, [\chi]) \cong \)