Properties

Label 4176.2.bm
Level $4176$
Weight $2$
Character orbit 4176.bm
Rep. character $\chi_{4176}(1351,\cdot)$
Character field $\Q(\zeta_{4})$
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.bm (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 232 \)
Character field: \(\Q(i)\)
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 1472 0 1472
Cusp forms 1408 0 1408
Eisenstein series 64 0 64

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

\( S_{2}^{\mathrm{old}}(4176, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(232, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(696, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2088, [\chi])\)\(^{\oplus 2}\)