Properties

Label 6026.2.q
Level $6026$
Weight $2$
Character orbit 6026.q
Rep. character $\chi_{6026}(315,\cdot)$
Character field $\Q(\zeta_{55})$
Dimension $10560$
Sturm bound $1584$

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Defining parameters

Level: \( N \) \(=\) \( 6026 = 2 \cdot 23 \cdot 131 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6026.q (of order \(55\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3013 \)
Character field: \(\Q(\zeta_{55})\)
Sturm bound: \(1584\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6026, [\chi])\).

Total New Old
Modular forms 31840 10560 21280
Cusp forms 31520 10560 20960
Eisenstein series 320 0 320

Decomposition of \(S_{2}^{\mathrm{new}}(6026, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6026, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6026, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3013, [\chi])\)\(^{\oplus 2}\)