Space of modular forms of level 2268, weight 2, and Character 2268.cd

• Label: 2268.2.cd
• Level: $2268$
• Weight: $2$
• Character orbit: 2268.cd
• Rep. character: $\chi_{2268}(19,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $840$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2268 = 2^{2} \cdot 3^{4} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2268.cd (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 756 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2268, [\chi])\).

	Total	New	Old
Modular forms	2664	888	1776
Cusp forms	2520	840	1680
Eisenstein series	144	48	96

Trace form

840 * q + 3 * q^2 - 3 * q^4 + 18 * q^5 + 6 * q^8 - 9 * q^10 - 24 * q^14 - 3 * q^16 + 18 * q^17 - 12 * q^22 - 6 * q^25 + 18 * q^26 - 12 * q^28 + 36 * q^29 + 63 * q^32 - 18 * q^34 - 12 * q^37 + 9 * q^38 - 9 * q^40 + 6 * q^44 - 6 * q^46 - 12 * q^49 - 3 * q^50 - 9 * q^52 + 12 * q^53 - 15 * q^56 - 3 * q^58 - 18 * q^61 - 99 * q^62 - 6 * q^64 + 54 * q^65 + 54 * q^68 + 9 * q^70 + 69 * q^74 + 36 * q^76 + 36 * q^77 + 18 * q^80 - 18 * q^82 + 6 * q^85 + 117 * q^86 + 21 * q^88 + 18 * q^89 - 48 * q^92 - 9 * q^94 - 54 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2268, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2268, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2268, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(756, [\chi])\)\(^{\oplus 2}\)