Properties

Label 8640.2.fy
Level $8640$
Weight $2$
Character orbit 8640.fy
Rep. character $\chi_{8640}(113,\cdot)$
Character field $\Q(\zeta_{36})$
Dimension $5136$
Sturm bound $3456$

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Defining parameters

Level: \( N \) \(=\) \( 8640 = 2^{6} \cdot 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 8640.fy (of order \(36\) and degree \(12\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2160 \)
Character field: \(\Q(\zeta_{36})\)
Sturm bound: \(3456\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(8640, [\chi])\).

Total New Old
Modular forms 20928 5232 15696
Cusp forms 20544 5136 15408
Eisenstein series 384 96 288

Decomposition of \(S_{2}^{\mathrm{new}}(8640, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(8640, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(8640, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2160, [\chi])\)\(^{\oplus 3}\)