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

• Label: 3724.2.cv
• Level: $3724$
• Weight: $2$
• Character orbit: 3724.cv
• Rep. character: $\chi_{3724}(121,\cdot)$
• Character field: $\Q(\zeta_{21})$
• Dimension: $1128$
• Sturm bound: $1120$

Defining parameters

Level:	$N$	$=$	$3724 = 2^{2} \cdot 7^{2} \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	3724.cv (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	1128	5664
Cusp forms	6648	1128	5520
Eisenstein series	144	0	144

Trace form

1128 * q + 2 * q^3 - 2 * q^5 - 4 * q^7 + 96 * q^9 + 10 * q^11 + 4 * q^13 - 3 * q^15 + 4 * q^17 + 3 * q^19 - 11 * q^21 - 2 * q^23 - 198 * q^25 - 28 * q^27 + 2 * q^29 + 7 * q^31 - 16 * q^33 - 21 * q^35 + 3 * q^37 + 18 * q^39 + 18 * q^41 + 16 * q^43 + 5 * q^45 + 79 * q^47 + 10 * q^49 - 4 * q^53 + 23 * q^55 - 38 * q^57 - 9 * q^59 + 44 * q^61 - 36 * q^63 - 4 * q^65 - 2 * q^67 - 60 * q^69 - 24 * q^71 - 2 * q^73 + 54 * q^75 + 14 * q^77 - 28 * q^79 + 94 * q^81 - 51 * q^83 - 101 * q^85 - 28 * q^87 + 13 * q^89 - 104 * q^91 + 58 * q^93 - 46 * q^95 - 33 * q^97 + 58 * 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}$