Space of modular forms of level 1840, weight 2, and Character 1840.bm

• Label: 1840.2.bm
• Level: $1840$
• Weight: $2$
• Character orbit: 1840.bm
• Rep. character: $\chi_{1840}(1333,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $568$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1840.bm (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1840 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1840, [\chi])\).

	Total	New	Old
Modular forms	584	584	0
Cusp forms	568	568	0
Eisenstein series	16	16	0

Trace form

568 * q - 4 * q^2 - 8 * q^3 + 8 * q^4 - 8 * q^6 - 4 * q^8 + 552 * q^9 - 16 * q^12 - 8 * q^13 - 16 * q^16 - 24 * q^18 - 24 * q^24 - 8 * q^26 - 32 * q^27 - 16 * q^31 - 24 * q^32 + 16 * q^35 - 8 * q^36 - 48 * q^39 - 20 * q^46 - 8 * q^47 - 100 * q^48 - 24 * q^50 + 56 * q^52 - 40 * q^54 + 36 * q^58 + 4 * q^62 + 32 * q^64 + 4 * q^69 - 64 * q^70 - 48 * q^72 - 16 * q^75 + 4 * q^78 + 488 * q^81 + 4 * q^82 + 16 * q^85 - 24 * q^87 - 56 * q^92 - 32 * q^93 + 8 * q^94 - 8 * q^95 - 8 * q^96 + 4 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1840, [\chi])\) into newform subspaces

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