Space of modular forms of level 3724, weight 2, and Character 3724.cw

• Label: 3724.2.cw
• Level: $3724$
• Weight: $2$
• Character orbit: 3724.cw
• Rep. character: $\chi_{3724}(505,\cdot)$
• Character field: $\Q(\zeta_{21})$
• Dimension: $1104$
• Sturm bound: $1120$

Defining parameters

Level:	$N$	$=$	$3724 = 2^{2} \cdot 7^{2} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3724.cw (of order $21$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$931$
Character field:			$\Q(\zeta_{21})$
Sturm bound:			$1120$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(3724, [\chi])$.

	Total	New	Old
Modular forms	6792	1104	5688
Cusp forms	6648	1104	5544
Eisenstein series	144	0	144

Trace form

1104 * q - 2 * q^5 + 88 * q^9 - 2 * q^11 + 6 * q^13 + 6 * q^15 + 7 * q^17 + 16 * q^19 - 4 * q^21 + 4 * q^23 + 82 * q^25 - 12 * q^27 - 4 * q^29 + 8 * q^33 + 12 * q^35 - 2 * q^37 + 16 * q^39 + 12 * q^41 - 18 * q^43 - 106 * q^45 - 32 * q^47 + 8 * q^49 - 4 * q^53 + 29 * q^55 - q^57 - 6 * q^59 - 36 * q^61 - 33 * q^63 - 16 * q^65 + 12 * q^67 - 36 * q^69 - 15 * q^71 + 30 * q^73 - 92 * q^75 + 8 * q^77 - 14 * q^79 + 92 * q^81 - 18 * q^83 + 34 * q^85 + 8 * q^87 - 11 * q^89 + 66 * q^91 + 72 * q^93 - 88 * q^95 - 70 * q^97 - 116 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(3724, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(3724, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(3724, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(931, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1862, [\chi])$$^{\oplus 2}$