Properties

Label 3040.2.et
Level $3040$
Weight $2$
Character orbit 3040.et
Rep. character $\chi_{3040}(331,\cdot)$
Character field $\Q(\zeta_{24})$
Dimension $2560$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 3040 = 2^{5} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3040.et (of order \(24\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 608 \)
Character field: \(\Q(\zeta_{24})\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3040, [\chi])\).

Total New Old
Modular forms 3872 2560 1312
Cusp forms 3808 2560 1248
Eisenstein series 64 0 64

Trace form

\( 2560 q + O(q^{10}) \) \( 2560 q + 24 q^{10} - 16 q^{24} + 80 q^{28} - 120 q^{34} + 80 q^{38} + 80 q^{42} - 88 q^{44} + 48 q^{51} + 192 q^{52} + 56 q^{54} - 64 q^{61} - 48 q^{62} - 96 q^{64} - 128 q^{66} - 96 q^{68} + 64 q^{76} + 32 q^{80} + 216 q^{90} - 480 q^{96} + 168 q^{98} - 64 q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3040, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3040, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(608, [\chi])\)\(^{\oplus 2}\)