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Properties

Label 2520.2.bh
Level $2520$
Weight $2$
Character orbit 2520.bh
Rep. character $\chi_{2520}(841,\cdot)$
Character field $\Q(\zeta_{3})$
Dimension $144$
Sturm bound $1152$

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Defining parameters

Level: \( N \) \(=\) \( 2520 = 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 2520.bh (of order \(3\) and degree \(2\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 9 \)
Character field: \(\Q(\zeta_{3})\)
Sturm bound: \(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2520, [\chi])\).

Total New Old
Modular forms 1184 144 1040
Cusp forms 1120 144 976
Eisenstein series 64 0 64

Trace form

\( 144 q + 4 q^{3} - 12 q^{9} + O(q^{10}) \) \( 144 q + 4 q^{3} - 12 q^{9} - 4 q^{11} - 24 q^{17} + 24 q^{19} - 72 q^{25} - 8 q^{27} + 12 q^{33} + 24 q^{35} + 24 q^{39} + 12 q^{41} - 12 q^{43} - 72 q^{49} - 16 q^{51} - 48 q^{53} - 36 q^{57} - 4 q^{59} + 16 q^{65} - 12 q^{67} + 40 q^{69} - 24 q^{71} - 72 q^{73} + 4 q^{75} + 16 q^{77} - 28 q^{81} + 8 q^{83} + 96 q^{89} + 16 q^{93} + 36 q^{97} - 4 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(2520, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2520, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2520, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(18, [\chi])\)\(^{\oplus 12}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(36, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(63, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(72, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(126, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(252, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(504, [\chi])\)\(^{\oplus 2}\)