Properties

Label 1520.2.co
Level $1520$
Weight $2$
Character orbit 1520.co
Rep. character $\chi_{1520}(463,\cdot)$
Character field $\Q(\zeta_{12})$
Dimension $240$
Sturm bound $480$

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Defining parameters

Level: \( N \) \(=\) \( 1520 = 2^{4} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1520.co (of order \(12\) and degree \(4\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 380 \)
Character field: \(\Q(\zeta_{12})\)
Sturm bound: \(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1520, [\chi])\).

Total New Old
Modular forms 1008 240 768
Cusp forms 912 240 672
Eisenstein series 96 0 96

Trace form

\( 240q + O(q^{10}) \) \( 240q + 24q^{41} + 48q^{57} + 96q^{65} + 48q^{77} + 120q^{81} - 24q^{85} + 96q^{93} + O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1520, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1520, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1520, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(380, [\chi])\)\(^{\oplus 3}\)