Properties

Label 7623.2.do
Level 7623
Weight 2
Character orbit do
Rep. character \(\chi_{7623}(64,\cdot)\)
Character field \(\Q(\zeta_{55})\)
Dimension 13200
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.do (of order \(55\) and degree \(40\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 121 \)
Character field: \(\Q(\zeta_{55})\)
Sturm bound: \(2112\)

Dimensions

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

Total New Old
Modular forms 42560 13200 29360
Cusp forms 41920 13200 28720
Eisenstein series 640 0 640

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

\( S_{2}^{\mathrm{old}}(7623, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1089, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2541, [\chi])\)\(^{\oplus 2}\)