Properties

Label 5780.2.m
Level $5780$
Weight $2$
Character orbit 5780.m
Rep. character $\chi_{5780}(829,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $272$
Sturm bound $1836$

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Defining parameters

Level: \( N \) \(=\) \( 5780 = 2^{2} \cdot 5 \cdot 17^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 5780.m (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 85 \)
Character field: \(\Q(i)\)
Sturm bound: \(1836\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(5780, [\chi])\).

Total New Old
Modular forms 1944 272 1672
Cusp forms 1728 272 1456
Eisenstein series 216 0 216

Decomposition of \(S_{2}^{\mathrm{new}}(5780, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(5780, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(5780, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(85, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(170, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(340, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1445, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2890, [\chi])\)\(^{\oplus 2}\)