Properties

Label 4026.2.fr
Level $4026$
Weight $2$
Character orbit 4026.fr
Rep. character $\chi_{4026}(7,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $1984$
Sturm bound $1488$

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Defining parameters

Level: \( N \) \(=\) \( 4026 = 2 \cdot 3 \cdot 11 \cdot 61 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 4026.fr (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 671 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(1488\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(4026, [\chi])\).

Total New Old
Modular forms 12032 1984 10048
Cusp forms 11776 1984 9792
Eisenstein series 256 0 256

Decomposition of \(S_{2}^{\mathrm{new}}(4026, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(4026, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(4026, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(671, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1342, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2013, [\chi])\)\(^{\oplus 2}\)