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

• Label: 3744.2.jb
• Level: $3744$
• Weight: $2$
• Character orbit: 3744.jb
• Rep. character: $\chi_{3744}(493,\cdot)$
• 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.jb (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 - 16 * q^3 - 8 * q^4 - 16 * q^9 - 32 * q^10 - 16 * q^12 - 4 * q^13 - 8 * q^14 - 8 * q^16 - 8 * q^22 - 8 * q^23 - 8 * q^25 - 16 * q^26 + 32 * q^27 - 8 * q^29 - 32 * q^35 - 40 * q^36 - 8 * q^38 + 16 * q^39 - 8 * q^40 - 56 * q^42 - 8 * q^43 + 88 * q^48 + 32 * q^51 - 4 * q^52 - 32 * q^53 - 32 * q^55 + 72 * q^56 - 8 * q^61 - 112 * q^62 - 32 * q^64 - 8 * q^65 - 160 * q^66 + 24 * q^68 - 16 * q^69 - 8 * q^74 + 24 * q^75 - 8 * q^77 - 72 * q^78 - 32 * q^82 - 16 * q^87 - 8 * q^88 - 160 * q^90 - 16 * q^91 - 8 * q^92 + 24 * q^94 - 272 * q^95

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

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