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Properties

Label 245.6.x
Level $245$
Weight $6$
Character orbit 245.x
Rep. character $\chi_{245}(3,\cdot)$
Character field $\Q(\zeta_{84})$
Dimension $3312$
Sturm bound $168$

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Defining parameters

Level: \( N \) \(=\) \( 245 = 5 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 245.x (of order \(84\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 245 \)
Character field: \(\Q(\zeta_{84})\)
Sturm bound: \(168\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(245, [\chi])\).

Total New Old
Modular forms 3408 3408 0
Cusp forms 3312 3312 0
Eisenstein series 96 96 0

Trace form

\( 3312 q - 26 q^{2} - 22 q^{3} - 88 q^{5} - 616 q^{6} - 218 q^{7} - 384 q^{8} + 1466 q^{10} - 72 q^{11} - 214 q^{12} - 28 q^{13} + 172 q^{15} - 66876 q^{16} + 4254 q^{17} - 370 q^{18} - 28 q^{20} - 6188 q^{21}+ \cdots + 1885164 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{6}^{\mathrm{new}}(245, [\chi])\) into newform subspaces

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