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

• Label: 3280.2.s
• Level: $3280$
• Weight: $2$
• Character orbit: 3280.s
• Rep. character: $\chi_{3280}(1549,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $1000$
• Sturm bound: $1008$

Defining parameters

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

Dimensions

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

	Total	New	Old
Modular forms	1016	1016	0
Cusp forms	1000	1000	0
Eisenstein series	16	16	0

Trace form

1000 * q - 8 * q^4 + 4 * q^6 - 984 * q^9 - 4 * q^10 - 8 * q^14 - 4 * q^15 - 8 * q^16 + 24 * q^21 + 8 * q^24 + 4 * q^26 - 8 * q^29 + 18 * q^30 + 32 * q^31 - 12 * q^34 + 24 * q^36 - 16 * q^39 - 4 * q^40 + 12 * q^44 - 24 * q^45 + 40 * q^50 - 8 * q^51 - 36 * q^54 + 20 * q^55 + 52 * q^56 - 8 * q^59 - 14 * q^60 + 16 * q^64 + 4 * q^65 - 24 * q^66 + 2 * q^70 + 56 * q^74 - 8 * q^76 - 8 * q^79 + 920 * q^81 + 24 * q^84 - 8 * q^86 + 16 * q^89 - 64 * q^90 + 56 * q^91 + 92 * q^94 - 28 * q^95 + 152 * q^96

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

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