Properties

Label 7800.2.ej
Level $7800$
Weight $2$
Character orbit 7800.ej
Rep. character $\chi_{7800}(181,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $3360$
Sturm bound $3360$

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Defining parameters

Level: \( N \) \(=\) \( 7800 = 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 7800.ej (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2600 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(3360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(7800, [\chi])\).

Total New Old
Modular forms 6752 3360 3392
Cusp forms 6688 3360 3328
Eisenstein series 64 0 64

Decomposition of \(S_{2}^{\mathrm{new}}(7800, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(7800, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(7800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2600, [\chi])\)\(^{\oplus 2}\)