Properties

Label 1064.2.de
Level $1064$
Weight $2$
Character orbit 1064.de
Rep. character $\chi_{1064}(25,\cdot)$
Character field $\Q(\zeta_{9})$
Dimension $240$
Sturm bound $320$

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Defining parameters

Level: \( N \) \(=\) \( 1064 = 2^{3} \cdot 7 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1064.de (of order \(9\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 133 \)
Character field: \(\Q(\zeta_{9})\)
Sturm bound: \(320\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1064, [\chi])\).

Total New Old
Modular forms 1008 240 768
Cusp forms 912 240 672
Eisenstein series 96 0 96

Trace form

\( 240 q + O(q^{10}) \) \( 240 q + 6 q^{13} + 12 q^{15} + 12 q^{17} - 12 q^{19} - 6 q^{21} + 12 q^{23} + 12 q^{25} - 48 q^{27} + 12 q^{29} + 12 q^{37} - 18 q^{39} + 18 q^{41} + 48 q^{43} + 12 q^{49} + 18 q^{53} - 12 q^{57} + 24 q^{59} + 6 q^{61} + 84 q^{63} - 18 q^{65} - 12 q^{67} + 48 q^{69} + 6 q^{73} - 84 q^{75} - 18 q^{77} + 18 q^{79} + 18 q^{83} - 60 q^{85} - 72 q^{87} - 36 q^{89} + 12 q^{91} - 30 q^{93} - 96 q^{95} + 24 q^{97} - 30 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1064, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1064, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1064, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(133, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(266, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(532, [\chi])\)\(^{\oplus 2}\)