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Properties

Label 45.16.j
Level $45$
Weight $16$
Character orbit 45.j
Rep. character $\chi_{45}(4,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $176$
Sturm bound $96$

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Defining parameters

Level: \( N \) \(=\) \( 45 = 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 16 \)
Character orbit: \([\chi]\) \(=\) 45.j (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 45 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(96\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{16}(45, [\chi])\).

Total New Old
Modular forms 184 184 0
Cusp forms 176 176 0
Eisenstein series 8 8 0

Trace form

\( 176 q + 1409022 q^{4} - 3597 q^{5} + 1160700 q^{6} + 25370478 q^{9} - 65540 q^{10} + 187680186 q^{11} - 907657986 q^{14} + 1684571673 q^{15} - 22011641858 q^{16} - 8 q^{19} - 1479542766 q^{20} + 31683967590 q^{21}+ \cdots - 21\!\cdots\!90 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{16}^{\mathrm{new}}(45, [\chi])\) into newform subspaces

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