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

• Label: 2900.2.bp
• Level: $2900$
• Weight: $2$
• Character orbit: 2900.bp
• Rep. character: $\chi_{2900}(347,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $3568$
• Sturm bound: $900$

Defining parameters

Level:	\( N \)	\(=\)	\( 2900 = 2^{2} \cdot 5^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2900.bp (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2900 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(900\)

Dimensions

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

	Total	New	Old
Modular forms	3632	3632	0
Cusp forms	3568	3568	0
Eisenstein series	64	64	0

Trace form

3568 * q - 20 * q^4 - 32 * q^5 - 12 * q^6 - 40 * q^9 - 28 * q^13 - 12 * q^16 - 32 * q^20 - 8 * q^22 - 52 * q^25 - 32 * q^28 - 20 * q^29 + 4 * q^30 - 24 * q^33 - 20 * q^34 - 44 * q^36 + 32 * q^38 - 60 * q^42 - 92 * q^45 - 176 * q^52 - 36 * q^53 - 20 * q^54 - 56 * q^57 + 92 * q^58 + 88 * q^62 - 20 * q^64 - 52 * q^65 - 96 * q^78 + 80 * q^80 + 804 * q^81 - 4 * q^82 - 12 * q^86 - 176 * q^88 + 116 * q^92 - 8 * q^93 - 20 * q^94 - 12 * q^96

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

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