Space of modular forms of level 2640, weight 2, and Character 2640.ex

• Label: 2640.2.ex
• Level: $2640$
• Weight: $2$
• Character orbit: 2640.ex
• Rep. character: $\chi_{2640}(83,\cdot)$
• Character field: $\Q(\zeta_{20})$
• Dimension: $4544$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2640 = 2^{4} \cdot 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2640.ex (of order \(20\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2640 \)
Character field:			\(\Q(\zeta_{20})\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2640, [\chi])\).

	Total	New	Old
Modular forms	4672	4672	0
Cusp forms	4544	4544	0
Eisenstein series	128	128	0

Trace form

4544 * q - 12 * q^3 - 20 * q^6 - 40 * q^7 - 4 * q^12 - 24 * q^15 - 24 * q^16 - 10 * q^18 - 16 * q^22 - 12 * q^27 - 20 * q^28 + 20 * q^30 - 16 * q^33 + 20 * q^36 - 20 * q^40 - 30 * q^42 - 36 * q^45 - 40 * q^46 + 6 * q^48 - 20 * q^51 + 20 * q^52 - 32 * q^55 - 20 * q^58 - 32 * q^60 - 40 * q^61 - 32 * q^66 + 36 * q^69 - 28 * q^70 - 160 * q^72 + 6 * q^75 - 12 * q^78 - 24 * q^81 - 4 * q^82 - 20 * q^85 + 176 * q^88 + 100 * q^90 - 24 * q^91 - 20 * q^96 - 24 * q^97 - 32 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2640, [\chi])\) into newform subspaces

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