Properties

Label 5776.2.v
Level $5776$
Weight $2$
Character orbit 5776.v
Rep. character $\chi_{5776}(429,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $2656$
Sturm bound $1520$

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Defining parameters

Level: \( N \) \(=\) \( 5776 = 2^{4} \cdot 19^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5776.v (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 304 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(1520\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5776, [\chi])\).

Total New Old
Modular forms 3120 2784 336
Cusp forms 2960 2656 304
Eisenstein series 160 128 32

Decomposition of \(S_{2}^{\mathrm{new}}(5776, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5776, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5776, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(304, [\chi])\)\(^{\oplus 2}\)