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

• Label: 1872.2.gr
• Level: $1872$
• Weight: $2$
• Character orbit: 1872.gr
• Rep. character: $\chi_{1872}(133,\cdot)$
• 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.gr (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 - 4 * q^2 - 2 * q^3 - 4 * q^4 - 4 * q^5 + 4 * q^6 - 16 * q^8 - 4 * q^10 - 4 * q^11 - 20 * q^12 - 2 * q^13 + 4 * q^14 - 4 * q^15 - 4 * q^16 - 8 * q^17 - 4 * q^18 - 4 * q^19 + 2 * q^20 - 2 * q^21 - 4 * q^22 - 34 * q^24 + 8 * q^26 - 20 * q^27 + 12 * q^28 - 4 * q^29 - 18 * q^30 - 8 * q^31 - 4 * q^32 - 4 * q^33 - 14 * q^35 + 24 * q^36 - 4 * q^37 - 4 * q^38 - 4 * q^40 - 6 * q^42 + 2 * q^43 - 16 * q^44 + 8 * q^45 + 4 * q^46 - 8 * q^47 + 30 * q^48 + 620 * q^49 - 42 * q^50 + 4 * q^51 - 2 * q^52 - 16 * q^53 - 2 * q^54 + 28 * q^56 + 68 * q^58 - 52 * q^59 - 16 * q^60 + 2 * q^61 + 6 * q^62 - 60 * q^63 + 20 * q^64 - 4 * q^65 - 96 * q^66 + 2 * q^67 - 40 * q^68 - 14 * q^69 - 18 * q^70 - 42 * q^72 - 26 * q^74 + 24 * q^75 + 2 * q^76 + 24 * q^77 + 4 * q^78 - 8 * q^79 - 36 * q^80 - 4 * q^81 - 14 * q^82 - 4 * q^83 + 46 * q^84 - 24 * q^85 + 100 * q^86 + 44 * q^88 - 132 * q^90 + 6 * q^91 + 12 * q^92 + 106 * q^93 - 6 * q^94 - 264 * q^95 + 120 * q^96 + 4 * q^97 - 26 * q^98 + 74 * 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.