Properties

Label 2415.2.z
Level $2415$
Weight $2$
Character orbit 2415.z
Rep. character $\chi_{2415}(1724,\cdot)$
Character field $\Q(\zeta_{6})$
Dimension $752$
Sturm bound $768$

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Defining parameters

Level: \( N \) \(=\) \( 2415 = 3 \cdot 5 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2415.z (of order \(6\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 2415 \)
Character field: \(\Q(\zeta_{6})\)
Sturm bound: \(768\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2415, [\chi])\).

Total New Old
Modular forms 784 784 0
Cusp forms 752 752 0
Eisenstein series 32 32 0

Trace form

\( 752q - 376q^{4} - 8q^{6} - 8q^{9} + O(q^{10}) \) \( 752q - 376q^{4} - 8q^{6} - 8q^{9} - 376q^{16} - 4q^{24} + 4q^{25} - 8q^{31} + 56q^{36} + 24q^{39} - 28q^{46} - 8q^{49} - 20q^{54} - 40q^{55} + 704q^{64} + 52q^{69} + 76q^{70} - 50q^{75} + 32q^{81} - 160q^{85} - 8q^{94} + 16q^{96} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2415, [\chi])\) into newform subspaces

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