Space of modular forms of level 3344, weight 2, and Character 3344.ej

• Label: 3344.2.ej
• Level: $3344$
• Weight: $2$
• Character orbit: 3344.ej
• Rep. character: $\chi_{3344}(293,\cdot)$
• Character field: $\Q(\zeta_{60})$
• Dimension: $7616$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 3344 = 2^{4} \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3344.ej (of order \(60\) and degree \(16\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3344 \)
Character field:			\(\Q(\zeta_{60})\)
Sturm bound:			\(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3344, [\chi])\).

	Total	New	Old
Modular forms	7744	7744	0
Cusp forms	7616	7616	0
Eisenstein series	128	128	0

Trace form

7616 * q - 30 * q^2 - 18 * q^3 - 6 * q^4 - 6 * q^5 - 10 * q^6 - 32 * q^11 - 30 * q^13 + 6 * q^14 - 36 * q^15 - 6 * q^16 - 20 * q^17 - 20 * q^19 - 24 * q^20 - 24 * q^22 - 10 * q^24 - 20 * q^26 - 10 * q^28 - 30 * q^29 - 40 * q^30 - 48 * q^33 - 108 * q^34 - 10 * q^35 + 26 * q^36 - 68 * q^38 - 30 * q^40 - 2 * q^42 - 58 * q^44 - 12 * q^47 - 18 * q^48 - 1856 * q^49 - 30 * q^51 - 30 * q^52 - 18 * q^53 - 24 * q^58 - 18 * q^59 - 18 * q^60 - 10 * q^61 - 10 * q^62 - 20 * q^63 - 168 * q^64 - 48 * q^66 - 48 * q^67 - 40 * q^68 - 72 * q^70 - 30 * q^72 + 90 * q^74 + 24 * q^77 + 264 * q^78 - 60 * q^79 + 22 * q^80 - 900 * q^81 - 90 * q^82 + 160 * q^83 - 10 * q^85 - 18 * q^86 - 30 * q^90 + 66 * q^91 - 54 * q^92 - 18 * q^93 - 40 * q^95 - 240 * q^96 - 36 * q^97 + 18 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3344, [\chi])\) into newform subspaces

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