Properties

Label 8027.2.q
Level $8027$
Weight $2$
Character orbit 8027.q
Rep. character $\chi_{8027}(415,\cdot)$
Character field $\Q(\zeta_{29})$
Dimension $18032$
Sturm bound $1400$

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Defining parameters

Level: \( N \) \(=\) \( 8027 = 23 \cdot 349 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8027.q (of order \(29\) and degree \(28\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 349 \)
Character field: \(\Q(\zeta_{29})\)
Sturm bound: \(1400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8027, [\chi])\).

Total New Old
Modular forms 19656 18032 1624
Cusp forms 19544 18032 1512
Eisenstein series 112 0 112

Decomposition of \(S_{2}^{\mathrm{new}}(8027, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8027, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8027, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(349, [\chi])\)\(^{\oplus 2}\)