Properties

Label 1665.2.q
Level $1665$
Weight $2$
Character orbit 1665.q
Rep. character $\chi_{1665}(332,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $152$
Sturm bound $456$

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Defining parameters

Level: \( N \) \(=\) \( 1665 = 3^{2} \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1665.q (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 555 \)
Character field: \(\Q(i)\)
Sturm bound: \(456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1665, [\chi])\).

Total New Old
Modular forms 472 152 320
Cusp forms 440 152 288
Eisenstein series 32 0 32

Trace form

\( 152 q - 152 q^{16} - 32 q^{25} - 32 q^{28} - 4 q^{37} + 104 q^{40} + 32 q^{46} + 136 q^{58} + 32 q^{67} - 112 q^{70} + 8 q^{73} - 48 q^{85}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(1665, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1665, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1665, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(555, [\chi])\)\(^{\oplus 2}\)