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Properties

Label 2535.2.s
Level $2535$
Weight $2$
Character orbit 2535.s
Rep. character $\chi_{2535}(1013,\cdot)$
Character field $\Q(\zeta_{4})$
Dimension $576$
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.s (of order \(4\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 195 \)
Character field: \(\Q(i)\)
Sturm bound: \(728\)

Dimensions

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

Total New Old
Modular forms 784 656 128
Cusp forms 672 576 96
Eisenstein series 112 80 32

Trace form

\( 576 q + 4 q^{3} + O(q^{10}) \) \( 576 q + 4 q^{3} + 24 q^{10} - 440 q^{16} + 40 q^{22} + 8 q^{25} + 4 q^{27} + 48 q^{30} - 88 q^{36} - 144 q^{40} - 24 q^{42} + 48 q^{43} - 4 q^{48} - 16 q^{51} + 80 q^{55} - 16 q^{61} + 8 q^{66} - 72 q^{75} + 48 q^{81} - 108 q^{87} - 168 q^{88} - 56 q^{90} + O(q^{100}) \)

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

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