Space of modular forms of level 3744, weight 2, and Character 3744.ji

• Label: 3744.2.ji
• Level: $3744$
• Weight: $2$
• Character orbit: 3744.ji
• Rep. character: $\chi_{3744}(419,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $5344$
• Sturm bound: $1344$

Defining parameters

Level:	\( N \)	\(=\)	\( 3744 = 2^{5} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3744.ji (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3744 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(1344\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3744, [\chi])\).

	Total	New	Old
Modular forms	5408	5408	0
Cusp forms	5344	5344	0
Eisenstein series	64	64	0

Trace form

5344 * q - 12 * q^2 - 4 * q^3 + 4 * q^4 - 24 * q^5 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 8 * q^10 - 12 * q^11 - 16 * q^12 - 4 * q^13 - 24 * q^14 - 8 * q^15 + 4 * q^16 - 16 * q^18 - 8 * q^19 - 16 * q^21 + 4 * q^22 - 4 * q^24 - 8 * q^25 - 40 * q^27 - 8 * q^28 - 12 * q^29 - 20 * q^30 - 12 * q^32 - 8 * q^33 - 28 * q^36 - 8 * q^37 - 24 * q^38 + 16 * q^39 - 8 * q^40 + 76 * q^42 - 8 * q^43 - 4 * q^45 - 8 * q^46 - 48 * q^47 + 48 * q^48 + 8 * q^51 - 4 * q^52 - 4 * q^54 - 8 * q^55 - 16 * q^57 + 76 * q^58 - 12 * q^59 - 32 * q^60 - 8 * q^61 + 60 * q^62 - 32 * q^64 - 24 * q^65 - 136 * q^66 - 8 * q^67 - 4 * q^69 - 8 * q^70 - 4 * q^72 - 32 * q^73 + 16 * q^75 - 8 * q^76 - 24 * q^77 + 80 * q^78 - 16 * q^79 - 192 * q^80 - 8 * q^82 - 24 * q^83 + 148 * q^84 + 24 * q^85 - 24 * q^86 - 4 * q^87 + 4 * q^88 - 88 * q^90 - 16 * q^91 - 24 * q^92 + 8 * q^93 - 40 * q^94 - 48 * q^96 - 16 * q^97 + 48 * q^98 - 144 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3744, [\chi])\) into newform subspaces

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