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

• Label: 2900.2.bn
• Level: $2900$
• Weight: $2$
• Character orbit: 2900.bn
• Rep. character: $\chi_{2900}(191,\cdot)$
• 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.bn (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 - 6 * q^2 - 6 * q^8 - 12 * q^10 + 6 * q^12 + 6 * q^14 - 12 * q^16 + 8 * q^17 + 16 * q^18 - 32 * q^20 + 24 * q^21 - 32 * q^24 - 12 * q^25 - 24 * q^26 - 12 * q^29 - 136 * q^30 - 16 * q^32 - 44 * q^36 + 18 * q^37 + 12 * q^40 + 8 * q^41 - 32 * q^44 - 72 * q^45 - 14 * q^46 - 22 * q^48 - 3408 * q^49 + 124 * q^50 - 44 * q^52 - 24 * q^53 - 60 * q^54 + 72 * q^56 + 24 * q^58 - 126 * q^60 - 32 * q^61 - 72 * q^65 + 112 * q^66 - 60 * q^68 - 36 * q^69 - 16 * q^70 - 80 * q^72 - 80 * q^73 + 24 * q^74 + 72 * q^77 + 36 * q^78 + 804 * q^81 + 8 * q^82 - 16 * q^84 + 6 * q^85 - 156 * q^88 - 90 * q^89 - 20 * q^90 - 12 * q^94 - 152 * q^97 + 24 * 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.