Space of modular forms of level 2900, weight 2, and Character 2900.ct

• Label: 2900.2.ct
• Level: $2900$
• Weight: $2$
• Character orbit: 2900.ct
• Rep. character: $\chi_{2900}(19,\cdot)$
• Character field: $\Q(\zeta_{140})$
• Dimension: $21408$
• Sturm bound: $900$

Defining parameters

Level:	\( N \)	\(=\)	\( 2900 = 2^{2} \cdot 5^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2900.ct (of order \(140\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2900 \)
Character field:			\(\Q(\zeta_{140})\)
Sturm bound:			\(900\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2900, [\chi])\).

	Total	New	Old
Modular forms	21792	21792	0
Cusp forms	21408	21408	0
Eisenstein series	384	384	0

Trace form

21408 * q - 60 * q^2 - 42 * q^4 - 112 * q^5 - 42 * q^6 - 60 * q^8 - 84 * q^9 - 52 * q^10 - 60 * q^12 - 140 * q^13 - 24 * q^14 - 30 * q^16 - 120 * q^17 - 24 * q^20 - 36 * q^21 - 70 * q^22 - 80 * q^24 - 100 * q^25 - 104 * q^26 - 72 * q^29 - 176 * q^30 - 140 * q^33 - 42 * q^34 + 2 * q^36 - 70 * q^37 - 70 * q^38 - 28 * q^40 - 52 * q^41 - 70 * q^42 - 10 * q^44 - 40 * q^45 - 44 * q^46 - 60 * q^48 - 3568 * q^49 - 452 * q^50 - 50 * q^52 - 100 * q^53 + 18 * q^54 + 42 * q^56 - 710 * q^58 + 46 * q^60 - 92 * q^61 - 70 * q^62 - 42 * q^64 - 120 * q^65 + 34 * q^66 - 96 * q^69 + 112 * q^70 - 90 * q^72 - 120 * q^73 - 136 * q^74 - 112 * q^76 + 20 * q^77 - 50 * q^78 - 56 * q^80 - 888 * q^81 - 2 * q^84 - 154 * q^85 + 120 * q^88 + 6 * q^89 + 54 * q^90 - 70 * q^92 - 30 * q^94 - 42 * q^96 + 80 * q^97 + 30 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2900, [\chi])\) into newform subspaces

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