Properties

Label 5445.2.l
Level $5445$
Weight $2$
Character orbit 5445.l
Rep. character $\chi_{5445}(2663,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $436$
Sturm bound $1584$

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Defining parameters

Level: \( N \) \(=\) \( 5445 = 3^{2} \cdot 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5445.l (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 15 \)
Character field: \(\Q(i)\)
Sturm bound: \(1584\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5445, [\chi])\).

Total New Old
Modular forms 1680 436 1244
Cusp forms 1488 436 1052
Eisenstein series 192 0 192

Decomposition of \(S_{2}^{\mathrm{new}}(5445, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5445, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5445, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(45, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(495, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1815, [\chi])\)\(^{\oplus 2}\)