Properties

Label 8036.2.bc
Level $8036$
Weight $2$
Character orbit 8036.bc
Rep. character $\chi_{8036}(195,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $3328$
Sturm bound $2352$

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Defining parameters

Level: \( N \) \(=\) \( 8036 = 2^{2} \cdot 7^{2} \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8036.bc (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1148 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(2352\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8036, [\chi])\).

Total New Old
Modular forms 4768 3392 1376
Cusp forms 4640 3328 1312
Eisenstein series 128 64 64

Decomposition of \(S_{2}^{\mathrm{new}}(8036, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8036, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8036, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1148, [\chi])\)\(^{\oplus 2}\)