Properties

Label 4176.2.l
Level $4176$
Weight $2$
Character orbit 4176.l
Rep. character $\chi_{4176}(2087,\cdot)$
Character field $\Q$
Dimension $0$
Newform subspaces $0$
Sturm bound $1440$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 4176 = 2^{4} \cdot 3^{2} \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4176.l (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 696 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(1440\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4176, [\chi])\).

Total New Old
Modular forms 736 0 736
Cusp forms 704 0 704
Eisenstein series 32 0 32

Decomposition of \(S_{2}^{\mathrm{old}}(4176, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4176, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(696, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2088, [\chi])\)\(^{\oplus 2}\)