Space of modular forms of level 2548, weight 2, and Character 2548.cx

• Label: 2548.2.cx
• Level: $2548$
• Weight: $2$
• Character orbit: 2548.cx
• Rep. character: $\chi_{2548}(239,\cdot)$
• Character field: $\Q(\zeta_{28})$
• Dimension: $4656$
• Sturm bound: $784$

Defining parameters

Level:	$N$	$=$	$2548 = 2^{2} \cdot 7^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	2548.cx (of order $28$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$2548$
Character field:			$\Q(\zeta_{28})$
Sturm bound:			$784$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(2548, [\chi])$.

	Total	New	Old
Modular forms	4752	4752	0
Cusp forms	4656	4656	0
Eisenstein series	96	96	0

Trace form

4656 * q - 10 * q^2 - 20 * q^5 - 18 * q^6 - 10 * q^8 + 720 * q^9 - 20 * q^13 - 8 * q^14 - 20 * q^16 - 28 * q^18 - 42 * q^20 - 44 * q^21 - 20 * q^22 + 38 * q^24 - 30 * q^26 + 58 * q^28 - 40 * q^29 + 10 * q^32 - 44 * q^33 + 46 * q^34 - 60 * q^37 - 100 * q^40 - 4 * q^41 - 32 * q^42 + 46 * q^44 - 4 * q^45 + 58 * q^46 - 32 * q^48 - 268 * q^50 - 62 * q^52 - 56 * q^53 + 36 * q^54 - 8 * q^57 - 2 * q^58 + 14 * q^60 - 24 * q^61 - 36 * q^65 + 56 * q^66 - 80 * q^68 - 138 * q^70 + 10 * q^72 + 28 * q^73 - 20 * q^74 - 50 * q^76 - 98 * q^78 - 44 * q^80 - 800 * q^81 + 62 * q^84 - 60 * q^85 - 58 * q^86 - 4 * q^89 + 40 * q^92 + 88 * q^93 - 68 * q^94 - 162 * q^96 - 96 * q^97 + 198 * q^98

Decomposition of $S_{2}^{\mathrm{new}}(2548, [\chi])$ into newform subspaces

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