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Properties

Label 2535.2.c
Level $2535$
Weight $2$
Character orbit 2535.c
Rep. character $\chi_{2535}(2029,\cdot)$
Character field $\Q$
Dimension $156$
Sturm bound $728$

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Defining parameters

Level: \( N \) \(=\) \( 2535 = 3 \cdot 5 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2535.c (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 5 \)
Character field: \(\Q\)
Sturm bound: \(728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2535, [\chi])\).

Total New Old
Modular forms 392 156 236
Cusp forms 336 156 180
Eisenstein series 56 0 56

Trace form

\( 156 q - 160 q^{4} + 4 q^{5} - 156 q^{9} + O(q^{10}) \) \( 156 q - 160 q^{4} + 4 q^{5} - 156 q^{9} - 8 q^{10} - 8 q^{11} + 24 q^{14} + 4 q^{15} + 168 q^{16} + 8 q^{19} - 28 q^{20} - 8 q^{21} - 8 q^{29} - 8 q^{30} - 16 q^{31} + 40 q^{34} - 4 q^{35} + 160 q^{36} - 32 q^{40} + 8 q^{41} + 40 q^{44} - 4 q^{45} + 24 q^{46} - 132 q^{49} - 40 q^{50} + 8 q^{51} + 4 q^{55} + 24 q^{59} - 12 q^{60} - 8 q^{61} - 232 q^{64} + 24 q^{66} - 16 q^{69} - 56 q^{70} - 8 q^{71} + 24 q^{74} - 16 q^{76} + 20 q^{80} + 156 q^{81} + 32 q^{84} + 8 q^{85} + 8 q^{89} + 8 q^{90} - 32 q^{94} + 44 q^{95} + 40 q^{96} + 8 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2535, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2535, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2535, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(65, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 2}\)