Space of modular forms of level 3332, weight 2, and Character 3332.bl

• Label: 3332.2.bl
• Level: $3332$
• Weight: $2$
• Character orbit: 3332.bl
• Rep. character: $\chi_{3332}(99,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $2872$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 3332 = 2^{2} \cdot 7^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3332.bl (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 68 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3332, [\chi])\).

	Total	New	Old
Modular forms	4160	3032	1128
Cusp forms	3904	2872	1032
Eisenstein series	256	160	96

Trace form

2872 * q + 8 * q^2 + 8 * q^4 + 16 * q^5 + 8 * q^6 - 40 * q^8 + 16 * q^9 + 8 * q^10 + 8 * q^12 + 16 * q^13 + 16 * q^17 + 16 * q^18 + 8 * q^20 - 40 * q^22 + 24 * q^24 + 16 * q^25 - 24 * q^26 - 80 * q^29 - 56 * q^30 + 48 * q^32 + 72 * q^34 + 24 * q^36 + 16 * q^37 + 48 * q^38 - 56 * q^40 + 16 * q^41 - 24 * q^44 + 16 * q^45 + 24 * q^46 + 32 * q^48 + 16 * q^52 + 24 * q^53 + 24 * q^54 - 48 * q^58 - 96 * q^60 - 16 * q^61 + 64 * q^62 - 88 * q^64 + 120 * q^65 - 112 * q^66 + 96 * q^68 - 32 * q^69 - 96 * q^72 + 120 * q^73 - 40 * q^74 + 64 * q^76 - 144 * q^78 - 88 * q^80 + 96 * q^81 + 48 * q^82 - 72 * q^85 - 64 * q^86 + 72 * q^88 + 16 * q^89 + 168 * q^90 - 152 * q^92 + 16 * q^93 - 88 * q^94 + 160 * q^96 + 16 * q^97

Decomposition of \(S_{2}^{\mathrm{new}}(3332, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3332, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3332, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(68, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(476, [\chi])\)\(^{\oplus 2}\)