Space of modular forms of level 1824, weight 2, and Character 1824.bc

• Label: 1824.2.bc
• Level: $1824$
• Weight: $2$
• Character orbit: 1824.bc
• Rep. character: $\chi_{1824}(239,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $152$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 1824 = 2^{5} \cdot 3 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1824.bc (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 456 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1824, [\chi])\).

	Total	New	Old
Modular forms	672	168	504
Cusp forms	608	152	456
Eisenstein series	64	16	48

Trace form

\( 152 q + 2 q^{3} - 2 q^{9} + 16 q^{19} - 64 q^{25} + 8 q^{27} - 4 q^{33} + 4 q^{43} - 136 q^{49} + 14 q^{51} - 2 q^{57} + 4 q^{67} + 4 q^{73} - 136 q^{75} - 6 q^{81} - 24 q^{91} + 12 q^{97} - 48 q^{99}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1824, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1824, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1824, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(456, [\chi])\)\(^{\oplus 3}\)