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Properties

Label 3332.2.cl
Level $3332$
Weight $2$
Character orbit 3332.cl
Rep. character $\chi_{3332}(253,\cdot)$
Character field $\Q(\zeta_{56})$
Dimension $2016$
Sturm bound $1008$

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Defining parameters

Level: \( N \) \(=\) \( 3332 = 2^{2} \cdot 7^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3332.cl (of order \(56\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 833 \)
Character field: \(\Q(\zeta_{56})\)
Sturm bound: \(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3332, [\chi])\).

Total New Old
Modular forms 12240 2016 10224
Cusp forms 11952 2016 9936
Eisenstein series 288 0 288

Trace form

\( 2016 q - 8 q^{5} + O(q^{10}) \) \( 2016 q - 8 q^{5} - 20 q^{11} + 24 q^{15} + 16 q^{17} + 60 q^{23} + 8 q^{25} + 48 q^{27} - 16 q^{35} - 32 q^{37} + 64 q^{41} - 24 q^{45} - 108 q^{49} + 40 q^{59} - 24 q^{61} + 12 q^{63} - 16 q^{67} + 144 q^{69} + 16 q^{71} + 40 q^{73} + 64 q^{75} - 12 q^{77} - 32 q^{79} + 44 q^{83} + 8 q^{85} + 48 q^{87} - 48 q^{91} + 140 q^{93} - 168 q^{95} - 48 q^{97} + 424 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(3332, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3332, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3332, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(833, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1666, [\chi])\)\(^{\oplus 2}\)