Properties

Label 9075.2.ci
Level $9075$
Weight $2$
Character orbit 9075.ci
Rep. character $\chi_{9075}(826,\cdot)$
Character field $\Q(\zeta_{11})$
Dimension $4180$
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.ci (of order \(11\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 121 \)
Character field: \(\Q(\zeta_{11})\)
Sturm bound: \(2640\)

Dimensions

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

Total New Old
Modular forms 13320 4180 9140
Cusp forms 13080 4180 8900
Eisenstein series 240 0 240

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

\( S_{2}^{\mathrm{old}}(9075, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(605, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1815, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3025, [\chi])\)\(^{\oplus 2}\)