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Properties

Label 2550.2.m
Level $2550$
Weight $2$
Character orbit 2550.m
Rep. character $\chi_{2550}(1849,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $104$
Sturm bound $1080$

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Defining parameters

Level: \( N \) \(=\) \( 2550 = 2 \cdot 3 \cdot 5^{2} \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2550.m (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 85 \)
Character field: \(\Q(i)\)
Sturm bound: \(1080\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2550, [\chi])\).

Total New Old
Modular forms 1128 104 1024
Cusp forms 1032 104 928
Eisenstein series 96 0 96

Trace form

\( 104 q + 104 q^{4} + O(q^{10}) \) \( 104 q + 104 q^{4} - 16 q^{11} + 104 q^{16} + 16 q^{21} + 56 q^{29} - 16 q^{31} - 16 q^{34} - 16 q^{39} + 8 q^{41} - 16 q^{44} - 32 q^{46} + 8 q^{61} + 104 q^{64} + 48 q^{69} + 64 q^{71} + 88 q^{74} - 16 q^{79} - 104 q^{81} + 16 q^{84} + 32 q^{86} + 128 q^{89} + 48 q^{91} + 16 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2550, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2550, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(85, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(170, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(255, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(425, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(510, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(850, [\chi])\)\(^{\oplus 2}\)