Space of modular forms of level 2028, weight 2, and Character 2028.bi

• Label: 2028.2.bi
• Level: $2028$
• Weight: $2$
• Character orbit: 2028.bi
• Rep. character: $\chi_{2028}(5,\cdot)$
• Character field: $\Q(\zeta_{52})$
• Dimension: $1440$
• Sturm bound: $728$

Defining parameters

Level:	$N$	$=$	$2028 = 2^{2} \cdot 3 \cdot 13^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	2028.bi (of order $52$ and degree $24$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$507$
Character field:			$\Q(\zeta_{52})$
Sturm bound:			$728$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(2028, [\chi])$.

	Total	New	Old
Modular forms	8880	1440	7440
Cusp forms	8592	1440	7152
Eisenstein series	288	0	288

Trace form

1440 * q - 4 * q^7 - 12 * q^13 + 12 * q^15 - 4 * q^19 + 12 * q^21 - 12 * q^27 + 4 * q^31 + 12 * q^33 + 16 * q^37 - 80 * q^39 - 130 * q^45 - 88 * q^55 - 12 * q^57 + 16 * q^61 + 94 * q^63 + 156 * q^67 - 40 * q^73 + 130 * q^75 + 64 * q^79 - 40 * q^81 - 24 * q^85 - 32 * q^87 - 28 * q^91 - 94 * q^93 + 16 * q^97

Decomposition of $S_{2}^{\mathrm{new}}(2028, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(2028, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(2028, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(507, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1014, [\chi])$$^{\oplus 2}$