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Properties

Label 3264.2.ge
Level $3264$
Weight $2$
Character orbit 3264.ge
Rep. character $\chi_{3264}(325,\cdot)$
Character field $\Q(\zeta_{16})$
Dimension $2304$
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.ge (of order \(16\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1088 \)
Character field: \(\Q(\zeta_{16})\)
Sturm bound: \(1152\)

Dimensions

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

Total New Old
Modular forms 4640 2304 2336
Cusp forms 4576 2304 2272
Eisenstein series 64 0 64

Trace form

\( 2304 q + O(q^{10}) \) \( 2304 q - 16 q^{10} - 64 q^{20} - 48 q^{22} - 48 q^{28} - 80 q^{32} - 112 q^{38} - 176 q^{44} + 64 q^{46} - 16 q^{54} + 176 q^{58} + 96 q^{74} - 48 q^{78} + 32 q^{79} + 160 q^{80} - 160 q^{82} - 96 q^{84} + 64 q^{85} + 96 q^{91} - 96 q^{92} + 112 q^{94} - 176 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

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

\( S_{2}^{\mathrm{old}}(3264, [\chi]) \cong \)