Properties

Label 6864.2.li
Level $6864$
Weight $2$
Character orbit 6864.li
Rep. character $\chi_{6864}(431,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $5376$
Sturm bound $2688$

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Defining parameters

Level: \( N \) \(=\) \( 6864 = 2^{4} \cdot 3 \cdot 11 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 6864.li (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1716 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(2688\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(6864, [\chi])\).

Total New Old
Modular forms 21888 5376 16512
Cusp forms 21120 5376 15744
Eisenstein series 768 0 768

Decomposition of \(S_{2}^{\mathrm{new}}(6864, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(6864, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(6864, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1716, [\chi])\)\(^{\oplus 3}\)