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

• Label: 1840.2.cj
• Level: $1840$
• Weight: $2$
• Character orbit: 1840.cj
• Rep. character: $\chi_{1840}(19,\cdot)$
• Character field: $\Q(\zeta_{44})$
• Dimension: $5680$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1840.cj (of order \(44\) and degree \(20\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1840 \)
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	5840	0
Cusp forms	5680	5680	0
Eisenstein series	160	160	0

Trace form

5680 * q - 36 * q^4 - 22 * q^5 - 36 * q^6 - 22 * q^10 - 44 * q^11 - 44 * q^14 - 44 * q^16 - 44 * q^19 - 22 * q^20 - 44 * q^21 - 72 * q^24 - 76 * q^26 - 36 * q^29 - 22 * q^30 + 2 * q^35 - 100 * q^36 - 72 * q^39 - 22 * q^40 - 44 * q^44 - 32 * q^46 - 592 * q^49 + 62 * q^50 - 44 * q^51 - 228 * q^54 - 36 * q^55 - 44 * q^56 - 36 * q^59 - 22 * q^60 - 44 * q^61 + 12 * q^64 - 44 * q^65 - 44 * q^66 - 68 * q^69 + 24 * q^70 - 72 * q^71 - 44 * q^74 - 6 * q^75 - 44 * q^76 - 22 * q^80 + 432 * q^81 - 44 * q^84 + 2 * q^85 - 44 * q^86 - 22 * q^90 - 164 * q^94 - 116 * q^96 - 44 * 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.