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Properties

Label 2280.2.bv
Level $2280$
Weight $2$
Character orbit 2280.bv
Rep. character $\chi_{2280}(1027,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $432$
Sturm bound $960$

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Defining parameters

Level: \( N \) \(=\) \( 2280 = 2^{3} \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2280.bv (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 40 \)
Character field: \(\Q(i)\)
Sturm bound: \(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2280, [\chi])\).

Total New Old
Modular forms 976 432 544
Cusp forms 944 432 512
Eisenstein series 32 0 32

Trace form

\( 432 q + O(q^{10}) \) \( 432 q - 16 q^{10} + 16 q^{12} + 32 q^{16} - 16 q^{17} + 16 q^{22} + 16 q^{25} + 32 q^{26} - 32 q^{28} - 16 q^{30} - 56 q^{40} - 40 q^{42} + 64 q^{43} - 96 q^{46} - 32 q^{48} - 72 q^{50} + 96 q^{52} + 64 q^{56} + 32 q^{58} - 40 q^{60} + 72 q^{62} + 16 q^{65} - 88 q^{68} - 32 q^{70} + 80 q^{73} - 72 q^{80} - 432 q^{81} + 56 q^{82} + 128 q^{86} - 72 q^{88} - 128 q^{91} - 72 q^{92} + 48 q^{97} + 200 q^{98} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2280, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2280, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2280, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(40, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(120, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(760, [\chi])\)\(^{\oplus 2}\)