Space of modular forms of level 2448, weight 2, and Character 2448.ep

• Label: 2448.2.ep
• Level: $2448$
• Weight: $2$
• Character orbit: 2448.ep
• Rep. character: $\chi_{2448}(229,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $3424$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2448.ep (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2448 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2448, [\chi])\).

	Total	New	Old
Modular forms	3488	3488	0
Cusp forms	3424	3424	0
Eisenstein series	64	64	0

Trace form

3424 * q - 4 * q^2 - 8 * q^3 - 4 * q^5 - 16 * q^6 - 16 * q^8 - 4 * q^11 - 28 * q^12 - 24 * q^14 - 16 * q^15 - 8 * q^16 - 32 * q^17 - 16 * q^18 - 4 * q^20 + 12 * q^22 + 8 * q^24 - 32 * q^26 - 8 * q^27 + 16 * q^28 - 4 * q^29 - 8 * q^31 - 4 * q^32 - 32 * q^33 - 4 * q^34 - 32 * q^35 + 8 * q^36 - 16 * q^37 + 16 * q^38 - 8 * q^40 + 40 * q^42 - 16 * q^44 - 28 * q^45 - 64 * q^46 - 60 * q^48 - 8 * q^49 - 8 * q^50 + 32 * q^51 - 8 * q^52 - 32 * q^53 - 52 * q^54 - 4 * q^56 + 48 * q^57 - 20 * q^58 - 128 * q^60 - 4 * q^61 + 104 * q^62 - 16 * q^63 - 8 * q^65 - 68 * q^66 - 8 * q^67 - 72 * q^68 - 16 * q^69 + 4 * q^70 + 40 * q^72 - 68 * q^74 + 24 * q^75 + 12 * q^76 - 8 * q^77 - 88 * q^78 - 8 * q^79 - 16 * q^80 - 16 * q^82 - 16 * q^84 - 4 * q^85 + 32 * q^86 + 28 * q^88 + 44 * q^90 + 40 * q^91 + 28 * q^92 - 16 * q^93 - 20 * q^94 - 8 * q^95 - 20 * q^96 - 8 * q^97 - 44 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces

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