Properties

Label 6600.2.ip
Level $6600$
Weight $2$
Character orbit 6600.ip
Rep. character $\chi_{6600}(191,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $0$
Newform subspaces $0$
Sturm bound $2880$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 6600 = 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6600.ip (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3300 \)
Character field: \(\Q(\zeta_{10})\)
Newform subspaces: \( 0 \)
Sturm bound: \(2880\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6600, [\chi])\).

Total New Old
Modular forms 5824 0 5824
Cusp forms 5696 0 5696
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{old}}(6600, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3300, [\chi])\)\(^{\oplus 2}\)