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

• Label: 2900.2.bs
• Level: $2900$
• Weight: $2$
• Character orbit: 2900.bs
• Rep. character: $\chi_{2900}(539,\cdot)$
• 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.bs (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 - 10 * q^2 - 10 * q^8 - 4 * q^10 - 10 * q^12 - 18 * q^14 - 12 * q^16 - 20 * q^17 - 32 * q^20 - 48 * q^21 - 32 * q^24 - 12 * q^25 - 8 * q^26 - 12 * q^29 + 64 * q^30 - 44 * q^36 - 70 * q^37 - 28 * q^40 - 32 * q^41 - 32 * q^44 - 72 * q^45 + 2 * q^46 - 10 * q^48 + 3344 * q^49 + 4 * q^50 - 20 * q^52 - 40 * q^53 - 60 * q^54 - 84 * q^56 - 200 * q^58 + 66 * q^60 + 8 * q^61 + 8 * q^65 - 76 * q^66 + 12 * q^69 - 56 * q^70 + 20 * q^72 - 20 * q^73 + 24 * q^74 - 160 * q^77 - 20 * q^78 + 804 * q^81 - 124 * q^84 + 42 * q^85 - 260 * q^88 - 90 * q^89 - 68 * q^90 - 12 * q^94 - 220 * q^97 - 100 * 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.