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

• Label: 1840.2.u
• Level: $1840$
• Weight: $2$
• Character orbit: 1840.u
• Rep. character: $\chi_{1840}(91,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $384$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1840 = 2^{4} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1840.u (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 368 \)
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	384	200
Cusp forms	568	384	184
Eisenstein series	16	0	16

Trace form

384 * q - 8 * q^4 + 12 * q^6 + 12 * q^12 + 32 * q^16 - 40 * q^18 - 16 * q^23 - 8 * q^24 - 24 * q^27 + 32 * q^29 - 20 * q^36 + 48 * q^39 + 4 * q^46 - 80 * q^48 - 384 * q^49 + 8 * q^50 + 64 * q^52 - 32 * q^54 + 76 * q^58 - 24 * q^59 - 60 * q^62 - 44 * q^64 + 16 * q^69 + 188 * q^72 - 32 * q^77 - 92 * q^78 - 384 * q^81 + 36 * q^82 + 32 * q^85 + 12 * q^92 + 48 * q^93 + 72 * q^94 - 136 * q^96 + 208 * 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.

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

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