Properties

Label 3864.2.dr
Level $3864$
Weight $2$
Character orbit 3864.dr
Rep. character $\chi_{3864}(503,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $0$
Newform subspaces $0$
Sturm bound $1536$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3864 = 2^{3} \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 3864.dr (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1932 \)
Character field: \(\Q(\zeta_{22})\)
Newform subspaces: \( 0 \)
Sturm bound: \(1536\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3864, [\chi])\).

Total New Old
Modular forms 7840 0 7840
Cusp forms 7520 0 7520
Eisenstein series 320 0 320

Decomposition of \(S_{2}^{\mathrm{old}}(3864, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1932, [\chi])\)\(^{\oplus 2}\)