Space of modular forms of level 2448, weight 4, and Character 2448.eo

• Label: 2448.4.eo
• Level: $2448$
• Weight: $4$
• Character orbit: 2448.eo
• Rep. character: $\chi_{2448}(155,\cdot)$
• Character field: $\Q(\zeta_{24})$
• Dimension: $10336$
• Sturm bound: $1728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2448 = 2^{4} \cdot 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	2448.eo (of order \(24\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2448 \)
Character field:			\(\Q(\zeta_{24})\)
Sturm bound:			\(1728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{4}(2448, [\chi])\).

	Total	New	Old
Modular forms	10400	10400	0
Cusp forms	10336	10336	0
Eisenstein series	64	64	0

Trace form

10336 * q - 12 * q^2 - 8 * q^3 - 12 * q^5 + 24 * q^6 - 8 * q^7 + 48 * q^10 - 12 * q^11 - 228 * q^12 + 288 * q^14 - 8 * q^16 - 16 * q^18 - 12 * q^20 - 68 * q^22 - 24 * q^23 - 792 * q^24 - 8 * q^27 - 528 * q^28 - 12 * q^29 - 12 * q^32 - 32 * q^33 - 4 * q^34 + 248 * q^36 - 16 * q^37 + 192 * q^38 - 16 * q^39 + 136 * q^40 - 3136 * q^42 - 508 * q^45 + 128 * q^46 + 2436 * q^48 - 8 * q^49 - 24 * q^50 - 1408 * q^51 - 8 * q^52 - 1548 * q^54 - 12 * q^56 + 432 * q^57 - 68 * q^58 + 1392 * q^60 - 4 * q^61 + 160 * q^63 - 24 * q^65 + 1500 * q^66 - 8 * q^67 + 8640 * q^68 - 16 * q^69 - 36 * q^70 - 3880 * q^72 + 11004 * q^74 + 600 * q^75 + 252 * q^76 - 2760 * q^78 - 16 * q^82 - 16 * q^84 - 4 * q^85 + 16656 * q^86 - 16 * q^87 - 2052 * q^88 - 1900 * q^90 - 2760 * q^91 - 12 * q^92 - 68 * q^94 + 3000 * q^95 + 100 * q^96 - 8 * q^97 + 2908 * q^99

Decomposition of \(S_{4}^{\mathrm{new}}(2448, [\chi])\) into newform subspaces

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