Space of modular forms of level 3528, weight 2, and Character 3528.fe

• Label: 3528.2.fe
• Level: $3528$
• Weight: $2$
• Character orbit: 3528.fe
• Rep. character: $\chi_{3528}(11,\cdot)$
• Character field: $\Q(\zeta_{42})$
• Dimension: $8016$
• Sturm bound: $1344$

Defining parameters

Level:	$N$	$=$	$3528 = 2^{3} \cdot 3^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3528.fe (of order $42$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$3528$
Character field:			$\Q(\zeta_{42})$
Sturm bound:			$1344$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(3528, [\chi])$.

	Total	New	Old
Modular forms	8112	8112	0
Cusp forms	8016	8016	0
Eisenstein series	96	96	0

Trace form

8016 * q - 21 * q^2 - 26 * q^3 - 5 * q^4 - 12 * q^6 - 26 * q^9 - 22 * q^10 - 36 * q^11 + 64 * q^12 + 72 * q^14 - 5 * q^16 - 9 * q^18 - 24 * q^19 - 15 * q^20 - 9 * q^22 - 6 * q^24 + 636 * q^25 + 6 * q^26 - 20 * q^27 - 28 * q^28 - 20 * q^30 - 21 * q^32 - 14 * q^33 - 3 * q^34 - 30 * q^35 + 14 * q^36 - 18 * q^38 - 13 * q^40 - 30 * q^41 + 6 * q^42 - 10 * q^43 - 9 * q^44 - 22 * q^46 - 23 * q^48 - 12 * q^49 - 21 * q^50 + 6 * q^51 - 16 * q^52 - 61 * q^54 + 3 * q^56 + 10 * q^57 - 4 * q^58 - 42 * q^59 - 91 * q^60 + 42 * q^62 - 20 * q^64 - 42 * q^65 + 54 * q^66 - 24 * q^67 + 21 * q^68 - 4 * q^70 - 32 * q^72 - 52 * q^73 - 6 * q^74 - 58 * q^75 + 47 * q^76 - 139 * q^78 - 87 * q^80 + 14 * q^81 - 24 * q^82 + 30 * q^83 - 109 * q^84 + 36 * q^86 + 24 * q^89 - 168 * q^90 - 20 * q^91 + 15 * q^92 + 11 * q^94 - 44 * q^96 - 24 * q^97 - 57 * q^98 - 66 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(3528, [\chi])$ into newform subspaces

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