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

• Label: 3528.2.ft
• Level: $3528$
• Weight: $2$
• Character orbit: 3528.ft
• Rep. character: $\chi_{3528}(139,\cdot)$
• 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.ft (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 - 5 * q^2 - 28 * q^3 - 5 * q^4 - 14 * q^6 - 20 * q^8 - 20 * q^9 - 28 * q^10 - 10 * q^11 - 49 * q^12 - 32 * q^14 - 5 * q^16 - 56 * q^17 - 18 * q^18 - 7 * q^20 - 13 * q^22 - 14 * q^24 + 642 * q^25 - 28 * q^26 - 28 * q^27 - 16 * q^28 - 42 * q^30 + 15 * q^32 - 28 * q^33 - 7 * q^34 - 68 * q^35 + 22 * q^36 + 7 * q^38 - 7 * q^40 - 14 * q^41 - 24 * q^42 - 10 * q^43 + 8 * q^44 - 12 * q^46 - 12 * q^49 - 10 * q^50 - 4 * q^51 - 7 * q^52 - 14 * q^54 + 93 * q^56 + 40 * q^57 + 3 * q^58 - 14 * q^59 + 64 * q^60 - 20 * q^64 - 50 * q^65 + 14 * q^66 - 24 * q^67 - 7 * q^70 + 44 * q^72 - 56 * q^73 + 47 * q^74 - 28 * q^75 + 21 * q^76 - 18 * q^78 + 20 * q^81 - 28 * q^82 - 14 * q^83 + 100 * q^84 - 49 * q^86 + 11 * q^88 - 56 * q^89 + 84 * q^90 - 76 * q^91 + 61 * q^92 - 7 * q^94 + 119 * q^96 + 104 * q^98 - 84 * 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.