Properties

Label 2240.2.bc
Level $2240$
Weight $2$
Character orbit 2240.bc
Rep. character $\chi_{2240}(111,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $128$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 2240 = 2^{6} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2240.bc (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 112 \)
Character field: \(\Q(i)\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2240, [\chi])\).

Total New Old
Modular forms 800 128 672
Cusp forms 736 128 608
Eisenstein series 64 0 64

Trace form

\( 128q + O(q^{10}) \) \( 128q - 8q^{11} + 16q^{23} + 16q^{29} + 16q^{37} + 8q^{43} - 80q^{51} + 16q^{53} - 40q^{67} + 64q^{71} - 128q^{81} + 32q^{91} + 40q^{99} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2240, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2240, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(112, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(448, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(560, [\chi])\)\(^{\oplus 3}\)