Properties

Label 4097.2.m
Level $4097$
Weight $2$
Character orbit 4097.m
Rep. character $\chi_{4097}(2636,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $644$
Sturm bound $726$

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Defining parameters

Level: \( N \) \(=\) \( 4097 = 17 \cdot 241 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4097.m (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 241 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(726\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4097, [\chi])\).

Total New Old
Modular forms 728 644 84
Cusp forms 720 644 76
Eisenstein series 8 0 8

Decomposition of \(S_{2}^{\mathrm{new}}(4097, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4097, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4097, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(241, [\chi])\)\(^{\oplus 2}\)