Properties

Label 7440.2.ku
Level $7440$
Weight $2$
Character orbit 7440.ku
Rep. character $\chi_{7440}(113,\cdot)$
Character field $\Q(\zeta_{60})$
Dimension $6080$
Sturm bound $3072$

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Defining parameters

Level: \( N \) \(=\) \( 7440 = 2^{4} \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7440.ku (of order \(60\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 465 \)
Character field: \(\Q(\zeta_{60})\)
Sturm bound: \(3072\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7440, [\chi])\).

Total New Old
Modular forms 24960 6208 18752
Cusp forms 24192 6080 18112
Eisenstein series 768 128 640

Decomposition of \(S_{2}^{\mathrm{new}}(7440, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7440, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7440, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(465, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(930, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1860, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3720, [\chi])\)\(^{\oplus 2}\)