Space of modular forms of level 1824, weight 2, and Character 1824.dr

• Label: 1824.2.dr
• Level: $1824$
• Weight: $2$
• Character orbit: 1824.dr
• Rep. character: $\chi_{1824}(35,\cdot)$
• Character field: $\Q(\zeta_{72})$
• Dimension: $7584$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 1824 = 2^{5} \cdot 3 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1824.dr (of order \(72\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1824 \)
Character field:			\(\Q(\zeta_{72})\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1824, [\chi])\).

	Total	New	Old
Modular forms	7776	7776	0
Cusp forms	7584	7584	0
Eisenstein series	192	192	0

Trace form

7584 * q - 24 * q^3 - 48 * q^4 - 24 * q^6 - 24 * q^7 - 24 * q^9 - 24 * q^10 - 12 * q^12 - 48 * q^13 - 48 * q^15 - 48 * q^16 - 48 * q^18 - 48 * q^19 - 24 * q^21 - 48 * q^22 - 24 * q^24 - 48 * q^25 - 12 * q^27 - 48 * q^28 - 12 * q^30 - 48 * q^33 - 48 * q^34 - 24 * q^36 - 96 * q^37 - 48 * q^39 - 48 * q^40 + 216 * q^42 - 48 * q^43 - 12 * q^45 - 24 * q^46 - 24 * q^48 - 24 * q^51 - 144 * q^52 - 156 * q^54 - 48 * q^55 - 24 * q^57 - 96 * q^58 - 108 * q^60 - 48 * q^61 - 24 * q^64 - 24 * q^66 - 48 * q^67 - 12 * q^69 - 192 * q^70 - 24 * q^72 - 48 * q^73 - 48 * q^75 - 48 * q^76 - 24 * q^78 - 96 * q^79 - 48 * q^82 - 12 * q^84 - 48 * q^85 - 12 * q^87 - 24 * q^88 + 192 * q^90 - 48 * q^91 - 60 * q^93 - 96 * q^94 + 168 * q^96 - 96 * q^97 - 24 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1824, [\chi])\) into newform subspaces

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