Properties

Label 4176.2.do
Level $4176$
Weight $2$
Character orbit 4176.do
Rep. character $\chi_{4176}(431,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $360$
Sturm bound $1440$

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Defining parameters

Level: \( N \) \(=\) \( 4176 = 2^{4} \cdot 3^{2} \cdot 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4176.do (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 348 \)
Character field: \(\Q(\zeta_{14})\)
Sturm bound: \(1440\)

Dimensions

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

Total New Old
Modular forms 4464 360 4104
Cusp forms 4176 360 3816
Eisenstein series 288 0 288

Decomposition of \(S_{2}^{\mathrm{new}}(4176, [\chi])\) into newform subspaces

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

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

\( S_{2}^{\mathrm{old}}(4176, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(348, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1044, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1392, [\chi])\)\(^{\oplus 2}\)