Space of modular forms of level 1444, weight 2, and Character 1444.t

• Label: 1444.2.t
• Level: $1444$
• Weight: $2$
• Character orbit: 1444.t
• Rep. character: $\chi_{1444}(27,\cdot)$
• Character field: $\Q(\zeta_{114})$
• Dimension: $6768$
• Sturm bound: $380$

Defining parameters

Level:	\( N \)	\(=\)	\( 1444 = 2^{2} \cdot 19^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1444.t (of order \(114\) and degree \(36\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1444 \)
Character field:			\(\Q(\zeta_{114})\)
Sturm bound:			\(380\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1444, [\chi])\).

	Total	New	Old
Modular forms	6912	6912	0
Cusp forms	6768	6768	0
Eisenstein series	144	144	0

Trace form

6768 * q - 35 * q^2 - 35 * q^4 - 74 * q^5 - 43 * q^6 - 38 * q^8 + 70 * q^9 - 89 * q^10 - 38 * q^12 - 58 * q^13 - 32 * q^14 - 35 * q^16 - 78 * q^17 - 38 * q^18 - 42 * q^20 - 76 * q^21 + 54 * q^22 - 23 * q^24 + 106 * q^25 - 125 * q^26 - 15 * q^28 - 70 * q^29 - 82 * q^30 - 65 * q^32 - 94 * q^33 - 74 * q^34 - 44 * q^36 - 76 * q^37 - 14 * q^38 - 86 * q^40 - 28 * q^41 - 66 * q^42 - 21 * q^44 - 100 * q^45 - 38 * q^46 - 465 * q^48 + 268 * q^49 - 38 * q^50 - 44 * q^52 - 82 * q^53 + 165 * q^54 + 152 * q^56 - 50 * q^57 + 2 * q^58 - 70 * q^60 - 50 * q^61 - 45 * q^62 - 8 * q^64 - 76 * q^65 - 51 * q^66 - 28 * q^68 + 16 * q^70 + 28 * q^72 - 92 * q^73 - 42 * q^74 + 204 * q^76 - 132 * q^77 - 220 * q^78 + 136 * q^80 + 282 * q^81 - 43 * q^82 - 95 * q^84 - 102 * q^85 - 674 * q^86 - 38 * q^88 - 18 * q^89 - 704 * q^90 + 20 * q^92 - 56 * q^93 - 266 * q^94 - 296 * q^96 - 64 * q^97 - 184 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1444, [\chi])\) into newform subspaces

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