Properties

Label 7600.2.d
Level $7600$
Weight $2$
Character orbit 7600.d
Rep. character $\chi_{7600}(3649,\cdot)$
Character field $\Q$
Dimension $162$
Sturm bound $2400$

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Defining parameters

Level: \( N \) \(=\) \( 7600 = 2^{4} \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7600.d (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5 \)
Character field: \(\Q\)
Sturm bound: \(2400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7600, [\chi])\).

Total New Old
Modular forms 1236 162 1074
Cusp forms 1164 162 1002
Eisenstein series 72 0 72

Decomposition of \(S_{2}^{\mathrm{new}}(7600, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7600, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(40, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(50, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(80, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(100, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(200, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(400, [\chi])\)\(^{\oplus 2}\)