Space of modular forms of level 1632, weight 2, and Character 1632.el

• Label: 1632.2.el
• Level: $1632$
• Weight: $2$
• Character orbit: 1632.el
• Rep. character: $\chi_{1632}(29,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $2272$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1632 = 2^{5} \cdot 3 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1632.el (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1632 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1632, [\chi])\).

	Total	New	Old
Modular forms	2336	2336	0
Cusp forms	2272	2272	0
Eisenstein series	64	64	0

Trace form

2272 * q - 8 * q^3 - 16 * q^4 - 24 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 + 32 * q^12 - 16 * q^13 - 16 * q^18 - 96 * q^19 - 8 * q^21 - 64 * q^22 - 8 * q^24 - 16 * q^25 - 8 * q^27 + 48 * q^28 - 8 * q^30 - 64 * q^31 - 16 * q^34 - 40 * q^36 - 16 * q^37 - 8 * q^39 - 48 * q^40 - 8 * q^42 + 32 * q^45 + 96 * q^46 - 8 * q^48 + 72 * q^51 - 32 * q^52 - 112 * q^54 - 32 * q^55 - 8 * q^57 - 48 * q^58 - 8 * q^60 - 16 * q^61 + 64 * q^63 - 16 * q^64 - 144 * q^66 - 16 * q^69 + 16 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 - 16 * q^76 - 120 * q^78 - 16 * q^82 + 112 * q^84 - 16 * q^85 - 8 * q^87 + 208 * q^88 + 128 * q^90 - 224 * q^91 - 8 * q^93 + 16 * q^96 - 32 * q^97 - 80 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1632, [\chi])\) into newform subspaces

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