Properties

Label 4400.2.ct
Level $4400$
Weight $2$
Character orbit 4400.ct
Rep. character $\chi_{4400}(799,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $432$
Sturm bound $1440$

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Defining parameters

Level: \( N \) \(=\) \( 4400 = 2^{4} \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4400.ct (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 220 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4400, [\chi])\).

Total New Old
Modular forms 3024 432 2592
Cusp forms 2736 432 2304
Eisenstein series 288 0 288

Decomposition of \(S_{2}^{\mathrm{new}}(4400, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4400, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4400, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(220, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(880, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1100, [\chi])\)\(^{\oplus 3}\)