Properties

Label 9075.2.ds
Level $9075$
Weight $2$
Character orbit 9075.ds
Rep. character $\chi_{9075}(31,\cdot)$
Character field $\Q(\zeta_{55})$
Dimension $26400$
Sturm bound $2640$

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Defining parameters

Level: \( N \) \(=\) \( 9075 = 3 \cdot 5^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 9075.ds (of order \(55\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3025 \)
Character field: \(\Q(\zeta_{55})\)
Sturm bound: \(2640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(9075, [\chi])\).

Total New Old
Modular forms 52960 26400 26560
Cusp forms 52640 26400 26240
Eisenstein series 320 0 320

Decomposition of \(S_{2}^{\mathrm{new}}(9075, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(9075, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(9075, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3025, [\chi])\)\(^{\oplus 2}\)