Properties

Label 5550.2.m
Level $5550$
Weight $2$
Character orbit 5550.m
Rep. character $\chi_{5550}(593,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $432$
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.m (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 15 \)
Character field: \(\Q(i)\)
Sturm bound: \(2280\)

Dimensions

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

Total New Old
Modular forms 2328 432 1896
Cusp forms 2232 432 1800
Eisenstein series 96 0 96

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

\( S_{2}^{\mathrm{old}}(5550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(30, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(75, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(150, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(555, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1110, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2775, [\chi])\)\(^{\oplus 2}\)