Properties

Label 5550.2.bx
Level $5550$
Weight $2$
Character orbit 5550.bx
Rep. character $\chi_{5550}(121,\cdot)$
Character field $\Q(\zeta_{15})$
Dimension $1504$
Sturm bound $2280$

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Defining parameters

Level: \( N \) \(=\) \( 5550 = 2 \cdot 3 \cdot 5^{2} \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5550.bx (of order \(15\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 925 \)
Character field: \(\Q(\zeta_{15})\)
Sturm bound: \(2280\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5550, [\chi])\).

Total New Old
Modular forms 9184 1504 7680
Cusp forms 9056 1504 7552
Eisenstein series 128 0 128

Decomposition of \(S_{2}^{\mathrm{new}}(5550, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5550, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(925, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1850, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2775, [\chi])\)\(^{\oplus 2}\)