Space of modular forms of level 2368, weight 2, and Character 2368.dw

• Label: 2368.2.dw
• Level: $2368$
• Weight: $2$
• Character orbit: 2368.dw
• Rep. character: $\chi_{2368}(53,\cdot)$
• Character field: $\Q(\zeta_{144})$
• Dimension: $14496$
• Sturm bound: $608$

Defining parameters

Level:	\( N \)	\(=\)	\( 2368 = 2^{6} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2368.dw (of order \(144\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2368 \)
Character field:			\(\Q(\zeta_{144})\)
Sturm bound:			\(608\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2368, [\chi])\).

	Total	New	Old
Modular forms	14688	14688	0
Cusp forms	14496	14496	0
Eisenstein series	192	192	0

Trace form

14496 * q - 48 * q^2 - 48 * q^3 - 48 * q^4 - 48 * q^5 - 96 * q^6 - 48 * q^7 - 24 * q^8 - 48 * q^9 - 24 * q^10 - 24 * q^11 - 48 * q^12 - 48 * q^13 - 24 * q^14 - 48 * q^15 - 48 * q^16 - 48 * q^17 - 48 * q^18 - 48 * q^19 - 48 * q^20 - 48 * q^21 - 48 * q^22 - 24 * q^23 - 168 * q^24 - 48 * q^25 - 24 * q^26 - 24 * q^27 - 48 * q^28 - 24 * q^29 - 48 * q^30 + 192 * q^32 - 168 * q^34 - 48 * q^35 - 96 * q^36 - 48 * q^37 - 96 * q^38 - 48 * q^39 - 48 * q^40 - 48 * q^41 - 48 * q^42 - 96 * q^43 - 48 * q^44 - 24 * q^45 - 48 * q^46 - 24 * q^47 - 24 * q^48 - 48 * q^49 - 48 * q^50 - 24 * q^51 - 48 * q^52 - 48 * q^53 - 48 * q^54 - 48 * q^55 - 48 * q^56 - 48 * q^57 - 48 * q^58 - 48 * q^59 + 552 * q^60 - 48 * q^61 + 48 * q^62 - 528 * q^63 - 24 * q^64 - 96 * q^65 - 24 * q^66 - 48 * q^67 - 672 * q^68 - 48 * q^69 - 624 * q^70 - 48 * q^71 - 48 * q^72 - 96 * q^73 + 120 * q^74 - 96 * q^75 - 48 * q^76 - 48 * q^77 - 48 * q^78 - 48 * q^79 - 96 * q^80 - 48 * q^81 - 24 * q^82 - 48 * q^83 + 312 * q^84 - 24 * q^85 - 360 * q^86 - 48 * q^87 - 24 * q^88 - 48 * q^89 - 48 * q^90 - 48 * q^91 - 504 * q^92 + 96 * q^93 - 48 * q^94 - 48 * q^96 - 48 * q^98 - 48 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2368, [\chi])\) into newform subspaces

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