Space of modular forms of level 3808, weight 2, and Character 3808.fe

• Label: 3808.2.fe
• Level: $3808$
• Weight: $2$
• Character orbit: 3808.fe
• Rep. character: $\chi_{3808}(573,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $4576$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 3808 = 2^{5} \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3808.fe (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 3808 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3808, [\chi])\).

	Total	New	Old
Modular forms	4640	4640	0
Cusp forms	4576	4576	0
Eisenstein series	64	64	0

Trace form

4576 * q - 16 * q^2 - 16 * q^4 - 8 * q^7 - 16 * q^8 - 16 * q^9 - 16 * q^11 - 8 * q^14 - 32 * q^18 - 8 * q^21 - 112 * q^22 - 16 * q^23 - 16 * q^25 + 24 * q^28 - 16 * q^29 - 16 * q^30 - 96 * q^32 - 16 * q^35 - 80 * q^36 - 16 * q^37 - 16 * q^39 - 56 * q^42 - 16 * q^44 - 16 * q^46 - 176 * q^51 - 16 * q^53 - 64 * q^56 - 16 * q^57 + 16 * q^58 - 16 * q^60 - 96 * q^63 - 16 * q^64 - 32 * q^65 + 72 * q^70 + 112 * q^71 - 16 * q^72 - 128 * q^74 - 8 * q^77 - 128 * q^78 - 16 * q^85 - 112 * q^86 + 48 * q^88 + 208 * q^91 - 80 * q^92 - 16 * q^93 + 48 * q^95 - 256 * q^98 + 80 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(3808, [\chi])\) into newform subspaces

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