Properties

Label 5700.2.ce
Level $5700$
Weight $2$
Character orbit 5700.ce
Rep. character $\chi_{5700}(341,\cdot)$
Character field $\Q(\zeta_{10})$
Dimension $800$
Sturm bound $2400$

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Defining parameters

Level: \( N \) \(=\) \( 5700 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5700.ce (of order \(10\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1425 \)
Character field: \(\Q(\zeta_{10})\)
Sturm bound: \(2400\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5700, [\chi])\).

Total New Old
Modular forms 4848 800 4048
Cusp forms 4752 800 3952
Eisenstein series 96 0 96

Decomposition of \(S_{2}^{\mathrm{new}}(5700, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5700, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5700, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1425, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2850, [\chi])\)\(^{\oplus 2}\)