Space of modular forms of level 1053, weight 2, and Character 1053.cd

• Label: 1053.2.cd
• Level: $1053$
• Weight: $2$
• Character orbit: 1053.cd
• Rep. character: $\chi_{1053}(25,\cdot)$
• Character field: $\Q(\zeta_{54})$
• Dimension: $2232$
• Sturm bound: $252$

Defining parameters

Level:	\( N \)	\(=\)	\( 1053 = 3^{4} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1053.cd (of order \(54\) and degree \(18\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1053 \)
Character field:			\(\Q(\zeta_{54})\)
Sturm bound:			\(252\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1053, [\chi])\).

	Total	New	Old
Modular forms	2304	2304	0
Cusp forms	2232	2232	0
Eisenstein series	72	72	0

Trace form

2232 * q - 36 * q^3 - 36 * q^4 - 36 * q^9 - 36 * q^10 - 36 * q^12 - 18 * q^13 - 36 * q^14 - 36 * q^16 - 36 * q^17 - 36 * q^22 - 36 * q^23 - 36 * q^25 - 9 * q^26 + 18 * q^27 - 90 * q^29 - 90 * q^30 - 36 * q^35 - 36 * q^36 - 36 * q^38 - 18 * q^39 - 36 * q^40 - 36 * q^42 - 36 * q^43 - 36 * q^48 - 36 * q^49 - 36 * q^51 - 36 * q^52 - 126 * q^53 - 18 * q^55 - 72 * q^56 - 36 * q^61 - 36 * q^62 - 36 * q^64 + 72 * q^65 - 324 * q^66 - 36 * q^68 + 108 * q^69 - 180 * q^74 - 36 * q^75 + 108 * q^77 + 153 * q^78 + 72 * q^79 - 36 * q^81 - 72 * q^82 - 180 * q^87 - 36 * q^88 + 108 * q^90 - 18 * q^91 - 378 * q^92 - 36 * q^94 + 108 * q^95

Decomposition of \(S_{2}^{\mathrm{new}}(1053, [\chi])\) into newform subspaces

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