Properties

Label 7623.2.i
Level 7623
Weight 2
Character orbit i
Rep. character \(\chi_{7623}(2179,\cdot)\)
Character field \(\Q(\zeta_{3})\)
Dimension 708
Sturm bound 2112

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Defining parameters

Level: \( N \) = \( 7623 = 3^{2} \cdot 7 \cdot 11^{2} \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 7623.i (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 7 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(2112\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7623, [\chi])\).

Total New Old
Modular forms 2208 744 1464
Cusp forms 2016 708 1308
Eisenstein series 192 36 156

Decomposition of \(S_{2}^{\mathrm{new}}(7623, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7623, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7623, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(21, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(63, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(77, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(231, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(693, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2541, [\chi])\)\(^{\oplus 2}\)