Properties

Label 7605.2.dj
Level $7605$
Weight $2$
Character orbit 7605.dj
Rep. character $\chi_{7605}(677,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $3632$
Sturm bound $2184$

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Defining parameters

Level: \( N \) \(=\) \( 7605 = 3^{2} \cdot 5 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7605.dj (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 45 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(2184\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7605, [\chi])\).

Total New Old
Modular forms 4480 3808 672
Cusp forms 4256 3632 624
Eisenstein series 224 176 48

Decomposition of \(S_{2}^{\mathrm{new}}(7605, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7605, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7605, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(45, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(585, [\chi])\)\(^{\oplus 2}\)