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

• Label: 1840.2.da
• Level: $1840$
• Weight: $2$
• Character orbit: 1840.da
• Rep. character: $\chi_{1840}(37,\cdot)$
• 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.da (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 - 18 * q^2 + 8 * q^4 - 22 * q^5 - 36 * q^6 - 18 * q^8 + 552 * q^9 - 22 * q^10 - 44 * q^11 - 30 * q^12 - 44 * q^15 - 28 * q^16 - 44 * q^17 - 22 * q^18 - 22 * q^20 - 44 * q^21 - 24 * q^24 - 36 * q^26 - 22 * q^28 - 22 * q^30 - 72 * q^31 + 2 * q^32 - 44 * q^33 + 2 * q^35 - 36 * q^36 - 22 * q^38 - 48 * q^39 - 22 * q^40 - 242 * q^42 - 44 * q^43 + 264 * q^44 - 24 * q^46 - 80 * q^47 + 54 * q^48 + 2 * q^50 - 44 * q^51 - 250 * q^52 - 44 * q^53 - 40 * q^54 - 44 * q^56 - 42 * q^58 - 22 * q^60 - 44 * q^61 - 66 * q^62 - 44 * q^63 + 32 * q^64 - 44 * q^65 - 44 * q^66 - 44 * q^67 + 4 * q^69 - 28 * q^70 + 68 * q^72 - 30 * q^75 - 44 * q^76 + 20 * q^77 + 6 * q^78 - 22 * q^80 - 576 * q^81 - 26 * q^82 + 2 * q^85 - 44 * q^86 - 24 * q^87 - 22 * q^88 + 22 * q^90 + 54 * q^92 + 8 * q^94 - 36 * q^95 - 36 * q^96 - 44 * q^97 - 82 * 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.