Properties

Label 3264.2.bj
Level $3264$
Weight $2$
Character orbit 3264.bj
Rep. character $\chi_{3264}(1393,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $144$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 3264 = 2^{6} \cdot 3 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3264.bj (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 272 \)
Character field: \(\Q(i)\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3264, [\chi])\).

Total New Old
Modular forms 1184 144 1040
Cusp forms 1120 144 976
Eisenstein series 64 0 64

Trace form

\( 144 q + O(q^{10}) \) \( 144 q - 16 q^{15} + 16 q^{19} + 144 q^{49} + 8 q^{51} + 64 q^{59} + 32 q^{69} - 144 q^{81} + 16 q^{85} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3264, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3264, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3264, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(272, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(816, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1088, [\chi])\)\(^{\oplus 2}\)