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Properties

Label 2535.2.h
Level $2535$
Weight $2$
Character orbit 2535.h
Rep. character $\chi_{2535}(844,\cdot)$
Character field $\Q$
Dimension $152$
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.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 65 \)
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 392 152 240
Cusp forms 336 152 184
Eisenstein series 56 0 56

Trace form

\( 152 q + 148 q^{4} - 152 q^{9} + O(q^{10}) \) \( 152 q + 148 q^{4} - 152 q^{9} + 12 q^{10} + 8 q^{14} + 172 q^{16} - 20 q^{25} + 16 q^{29} + 8 q^{30} + 20 q^{35} - 148 q^{36} + 20 q^{40} + 112 q^{49} + 24 q^{51} - 28 q^{55} + 64 q^{56} + 236 q^{64} - 8 q^{66} - 16 q^{69} - 80 q^{74} + 152 q^{81} - 12 q^{90} + 80 q^{94} + 60 q^{95} + O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2535, [\chi]) \cong \)