Space of modular forms of level 2912, weight 2, and Character 2912.ee

• Label: 2912.2.ee
• Level: $2912$
• Weight: $2$
• Character orbit: 2912.ee
• Rep. character: $\chi_{2912}(853,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $1776$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2912 = 2^{5} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2912.ee (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2912 \)
Character field:			\(\Q(\zeta_{8})\)
Sturm bound:			\(896\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2912, [\chi])\).

	Total	New	Old
Modular forms	1808	1808	0
Cusp forms	1776	1776	0
Eisenstein series	32	32	0

Trace form

1776 * q - 8 * q^2 - 8 * q^7 - 8 * q^8 - 16 * q^9 - 8 * q^11 - 40 * q^14 - 16 * q^16 - 24 * q^18 + 8 * q^21 - 16 * q^22 - 24 * q^28 - 16 * q^29 - 8 * q^32 - 8 * q^35 - 8 * q^37 - 8 * q^39 - 48 * q^42 + 24 * q^44 - 64 * q^46 + 8 * q^50 - 16 * q^53 - 56 * q^56 - 8 * q^58 - 88 * q^60 - 8 * q^63 - 16 * q^65 - 8 * q^67 + 44 * q^70 - 16 * q^74 - 56 * q^77 - 144 * q^78 - 52 * q^84 + 32 * q^85 - 40 * q^86 - 24 * q^91 - 16 * q^92 + 16 * q^93 + 24 * q^98 + 88 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2912, [\chi])\) into newform subspaces

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