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

• Label: 2912.2.ei
• Level: $2912$
• Weight: $2$
• Character orbit: 2912.ei
• Rep. character: $\chi_{2912}(99,\cdot)$
• Character field: $\Q(\zeta_{8})$
• Dimension: $1344$
• Sturm bound: $896$

Defining parameters

Level:	\( N \)	\(=\)	\( 2912 = 2^{5} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2912.ei (of order \(8\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 416 \)
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	1344	464
Cusp forms	1776	1344	432
Eisenstein series	32	0	32

Trace form

1344 * q + 24 * q^6 - 48 * q^12 + 32 * q^22 - 64 * q^24 - 32 * q^30 - 40 * q^34 - 48 * q^39 - 64 * q^43 + 64 * q^46 + 1344 * q^49 - 64 * q^50 + 64 * q^55 - 72 * q^58 + 48 * q^59 + 48 * q^60 + 48 * q^68 - 48 * q^70 - 128 * q^72 + 128 * q^78 - 64 * q^80 - 144 * q^82 + 80 * q^83 - 168 * q^86 + 128 * q^88 - 128 * q^90 - 96 * q^93 - 16 * q^96 + 128 * 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.

Decomposition of \(S_{2}^{\mathrm{old}}(2912, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2912, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(416, [\chi])\)\(^{\oplus 2}\)