Properties

Label 3040.2.k
Level $3040$
Weight $2$
Character orbit 3040.k
Rep. character $\chi_{3040}(2129,\cdot)$
Character field $\Q$
Dimension $108$
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.k (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 40 \)
Character field: \(\Q\)
Sturm bound: \(960\)

Dimensions

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

Total New Old
Modular forms 496 108 388
Cusp forms 464 108 356
Eisenstein series 32 0 32

Trace form

\( 108 q + 108 q^{9} + O(q^{10}) \) \( 108 q + 108 q^{9} + 4 q^{25} + 32 q^{39} - 8 q^{41} - 108 q^{49} + 32 q^{55} - 24 q^{65} - 32 q^{71} + 92 q^{81} - 56 q^{89} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(3040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(40, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(160, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(760, [\chi])\)\(^{\oplus 3}\)