Properties

Label 7360.2.dz
Level $7360$
Weight $2$
Character orbit 7360.dz
Rep. character $\chi_{7360}(513,\cdot)$
Character field $\Q(\zeta_{44})$
Dimension $5680$
Sturm bound $2304$

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Defining parameters

Level: \( N \) \(=\) \( 7360 = 2^{6} \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7360.dz (of order \(44\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 115 \)
Character field: \(\Q(\zeta_{44})\)
Sturm bound: \(2304\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7360, [\chi])\).

Total New Old
Modular forms 23520 5840 17680
Cusp forms 22560 5680 16880
Eisenstein series 960 160 800

Decomposition of \(S_{2}^{\mathrm{new}}(7360, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7360, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7360, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(115, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(230, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(920, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1840, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3680, [\chi])\)\(^{\oplus 2}\)