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

• Label: 1840.2.cv
• Level: $1840$
• Weight: $2$
• Character orbit: 1840.cv
• Rep. character: $\chi_{1840}(101,\cdot)$
• Character field: $\Q(\zeta_{44})$
• Dimension: $3840$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1840.cv (of order \(44\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 368 \)
Character field:			\(\Q(\zeta_{44})\)
Sturm bound:			\(576\)

Dimensions

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

	Total	New	Old
Modular forms	5840	3840	2000
Cusp forms	5680	3840	1840
Eisenstein series	160	0	160

Trace form

3840 * q + 8 * q^4 + 12 * q^6 - 8 * q^10 + 16 * q^11 + 12 * q^12 + 8 * q^14 + 16 * q^15 - 32 * q^16 - 40 * q^18 + 16 * q^19 - 8 * q^22 - 8 * q^24 - 24 * q^27 - 40 * q^28 + 32 * q^29 - 36 * q^34 + 20 * q^36 + 32 * q^37 + 180 * q^38 - 80 * q^42 - 16 * q^43 - 8 * q^44 + 356 * q^46 + 80 * q^48 + 384 * q^49 - 36 * q^50 - 16 * q^51 - 64 * q^52 - 32 * q^53 + 144 * q^54 - 88 * q^56 - 216 * q^58 + 24 * q^59 - 32 * q^61 - 60 * q^62 - 80 * q^63 + 44 * q^64 + 80 * q^66 - 80 * q^67 + 96 * q^68 - 16 * q^69 + 116 * q^72 + 104 * q^74 + 144 * q^77 + 92 * q^78 - 32 * q^79 + 384 * q^81 + 36 * q^82 + 96 * q^84 + 32 * q^85 - 72 * q^86 + 40 * q^88 + 52 * q^92 - 480 * q^93 + 120 * q^94 - 136 * q^96 - 64 * q^98 + 80 * q^99

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

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

Decomposition of \(S_{2}^{\mathrm{old}}(1840, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1840, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(368, [\chi])\)\(^{\oplus 2}\)