Space of modular forms of level 3280, weight 2, and Character 3280.fg

• Label: 3280.2.fg
• Level: $3280$
• Weight: $2$
• Character orbit: 3280.fg
• Rep. character: $\chi_{3280}(469,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $4000$
• Sturm bound: $1008$

Defining parameters

Level:	\( N \)	\(=\)	\( 3280 = 2^{4} \cdot 5 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3280.fg (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3280 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(1008\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3280, [\chi])\).

	Total	New	Old
Modular forms	4064	4064	0
Cusp forms	4000	4000	0
Eisenstein series	64	64	0

Trace form

4000 * q - 12 * q^4 - 6 * q^5 - 12 * q^6 - 24 * q^10 - 12 * q^11 - 16 * q^14 - 12 * q^15 - 12 * q^16 - 12 * q^19 - 6 * q^20 - 48 * q^21 - 12 * q^24 - 12 * q^26 - 12 * q^29 + 10 * q^30 - 72 * q^31 - 28 * q^34 - 22 * q^35 - 44 * q^36 - 56 * q^40 - 32 * q^44 + 42 * q^45 + 4 * q^46 - 976 * q^49 - 20 * q^50 + 24 * q^51 + 116 * q^54 + 44 * q^56 - 12 * q^59 + 70 * q^60 - 12 * q^61 + 84 * q^64 - 36 * q^65 + 20 * q^66 - 48 * q^69 + 112 * q^70 + 76 * q^74 - 56 * q^75 - 160 * q^76 - 64 * q^79 - 34 * q^80 - 3808 * q^81 - 12 * q^84 - 36 * q^85 - 100 * q^86 - 24 * q^90 + 24 * q^91 - 76 * q^94 - 60 * q^95 + 288 * q^96 + 132 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3280, [\chi])\) into newform subspaces

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