Space of modular forms of level 1872, weight 2, and Character 1872.hi

• Label: 1872.2.hi
• Level: $1872$
• Weight: $2$
• Character orbit: 1872.hi
• Rep. character: $\chi_{1872}(499,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $1328$
• Sturm bound: $672$

Defining parameters

Level:	\( N \)	\(=\)	\( 1872 = 2^{4} \cdot 3^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1872.hi (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1872 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(672\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1872, [\chi])\).

	Total	New	Old
Modular forms	1360	1360	0
Cusp forms	1328	1328	0
Eisenstein series	32	32	0

Trace form

1328 * q - 2 * q^2 - 8 * q^3 - 2 * q^6 - 4 * q^7 + 4 * q^8 - 16 * q^10 - 2 * q^13 - 4 * q^14 - 12 * q^15 - 4 * q^16 - 14 * q^18 - 18 * q^20 + 4 * q^21 - 4 * q^22 + 632 * q^25 - 32 * q^26 - 8 * q^27 - 24 * q^28 - 4 * q^29 - 20 * q^30 - 2 * q^32 - 8 * q^33 + 2 * q^34 - 16 * q^35 + 72 * q^36 - 16 * q^37 - 12 * q^38 - 8 * q^39 - 4 * q^40 - 28 * q^42 - 88 * q^44 - 28 * q^45 - 16 * q^46 - 28 * q^48 - 10 * q^50 - 2 * q^52 - 16 * q^53 + 10 * q^54 - 32 * q^55 + 24 * q^57 + 24 * q^58 - 52 * q^60 - 4 * q^61 - 4 * q^65 + 12 * q^66 + 12 * q^68 - 4 * q^70 - 16 * q^71 + 110 * q^72 - 60 * q^74 - 20 * q^75 + 6 * q^76 - 56 * q^77 - 48 * q^78 - 136 * q^80 - 16 * q^81 - 10 * q^84 + 16 * q^85 - 10 * q^86 - 16 * q^87 + 32 * q^88 - 12 * q^90 - 36 * q^91 - 36 * q^92 + 28 * q^93 - 4 * q^94 + 40 * q^95 - 12 * q^96 - 4 * q^97 + 164 * q^98 - 108 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1872, [\chi])\) into newform subspaces

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