Properties

Label 4017.2.dd
Level $4017$
Weight $2$
Character orbit 4017.dd
Rep. character $\chi_{4017}(25,\cdot)$
Character field $\Q(\zeta_{102})$
Dimension $7744$
Sturm bound $970$

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Defining parameters

Level: \( N \) \(=\) \( 4017 = 3 \cdot 13 \cdot 103 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4017.dd (of order \(102\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1339 \)
Character field: \(\Q(\zeta_{102})\)
Sturm bound: \(970\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4017, [\chi])\).

Total New Old
Modular forms 15680 7744 7936
Cusp forms 15424 7744 7680
Eisenstein series 256 0 256

Decomposition of \(S_{2}^{\mathrm{new}}(4017, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4017, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4017, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1339, [\chi])\)\(^{\oplus 2}\)