Space of modular forms of level 3300, weight 2, and Character 3300.da

• Label: 3300.2.da
• Level: $3300$
• Weight: $2$
• Character orbit: 3300.da
• Rep. character: $\chi_{3300}(971,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $2848$
• Sturm bound: $1440$

Defining parameters

Level:	\( N \)	\(=\)	\( 3300 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3300.da (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3300 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(1440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3300, [\chi])\).

	Total	New	Old
Modular forms	2912	2912	0
Cusp forms	2848	2848	0
Eisenstein series	64	64	0

Trace form

2848 * q - 2 * q^4 - 18 * q^6 - 2 * q^9 - 36 * q^10 - 18 * q^12 - 4 * q^13 - 6 * q^16 - 14 * q^18 - 36 * q^21 + 14 * q^22 + 6 * q^24 - 4 * q^25 - 34 * q^28 + 35 * q^30 - 24 * q^33 - 8 * q^34 - 30 * q^36 - 24 * q^37 + 56 * q^40 - 11 * q^42 - 24 * q^45 + 4 * q^46 - 13 * q^48 + 644 * q^49 - 76 * q^52 + 2 * q^54 - 36 * q^57 - 34 * q^58 - 4 * q^61 + 22 * q^64 - q^66 - 32 * q^69 + 122 * q^70 - 18 * q^72 - 20 * q^73 - 64 * q^76 + 8 * q^78 - 2 * q^81 + 16 * q^82 + 40 * q^84 + 132 * q^85 - 110 * q^88 - 67 * q^90 + 30 * q^93 - 148 * q^94 + 15 * q^96 + 56 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(3300, [\chi])\) into newform subspaces

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