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Properties

Label 2475.2.dn
Level $2475$
Weight $2$
Character orbit 2475.dn
Rep. character $\chi_{2475}(152,\cdot)$
Character field $\Q(\zeta_{20})$
Dimension $960$
Sturm bound $720$

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Defining parameters

Level: \( N \) \(=\) \( 2475 = 3^{2} \cdot 5^{2} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2475.dn (of order \(20\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 825 \)
Character field: \(\Q(\zeta_{20})\)
Sturm bound: \(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2475, [\chi])\).

Total New Old
Modular forms 2944 960 1984
Cusp forms 2816 960 1856
Eisenstein series 128 0 128

Trace form

\( 960 q + 16 q^{7} - 64 q^{10} + 24 q^{13} + 240 q^{16} + 40 q^{19} + 32 q^{22} - 32 q^{25} - 72 q^{28} - 32 q^{37} - 32 q^{40} - 56 q^{43} - 120 q^{49} + 16 q^{52} - 8 q^{55} - 72 q^{58} - 80 q^{64} - 64 q^{67}+ \cdots + 64 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Decomposition of \(S_{2}^{\mathrm{new}}(2475, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2475, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2475, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(825, [\chi])\)\(^{\oplus 2}\)