Properties

Label 6069.2.bu
Level $6069$
Weight $2$
Character orbit 6069.bu
Rep. character $\chi_{6069}(65,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $11072$
Sturm bound $1632$

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Defining parameters

Level: \( N \) \(=\) \( 6069 = 3 \cdot 7 \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6069.bu (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 357 \)
Character field: \(\Q(\zeta_{48})\)
Sturm bound: \(1632\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6069, [\chi])\).

Total New Old
Modular forms 13632 11968 1664
Cusp forms 12480 11072 1408
Eisenstein series 1152 896 256

Decomposition of \(S_{2}^{\mathrm{new}}(6069, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6069, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6069, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(357, [\chi])\)\(^{\oplus 2}\)