Space of modular forms of level 2548, weight 2, and Character 2548.cq

• Label: 2548.2.cq
• Level: $2548$
• Weight: $2$
• Character orbit: 2548.cq
• Rep. character: $\chi_{2548}(9,\cdot)$
• Character field: $\Q(\zeta_{21})$
• Dimension: $780$
• Sturm bound: $784$

Defining parameters

Level:	$N$	$=$	$2548 = 2^{2} \cdot 7^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	2548.cq (of order $21$ and degree $12$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$637$
Character field:			$\Q(\zeta_{21})$
Sturm bound:			$784$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(2548, [\chi])$.

	Total	New	Old
Modular forms	4776	780	3996
Cusp forms	4632	780	3852
Eisenstein series	144	0	144

Trace form

780 * q - 2 * q^3 - q^7 - 128 * q^9 - 4 * q^11 - 4 * q^13 + 6 * q^17 - 2 * q^19 + 11 * q^21 + 63 * q^25 + 4 * q^27 - 2 * q^29 - 7 * q^31 - 28 * q^33 - 25 * q^35 + q^37 + 17 * q^39 - 7 * q^41 + 8 * q^43 - 25 * q^45 + 33 * q^47 + 19 * q^49 - 58 * q^51 - 38 * q^53 + 43 * q^55 - 6 * q^57 - 20 * q^59 - 9 * q^61 + 52 * q^63 - 22 * q^65 + 58 * q^67 + 45 * q^69 + 5 * q^71 - 30 * q^73 + 17 * q^75 + 10 * q^77 - 2 * q^79 - 118 * q^81 - 19 * q^83 + 76 * q^85 + 30 * q^87 + 57 * q^89 - 84 * q^91 - 191 * q^93 + 68 * q^95 - 18 * q^97 - 20 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(2548, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(2548, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(2548, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(637, [\chi])$$^{\oplus 3}$$\oplus$$S_{2}^{\mathrm{new}}(1274, [\chi])$$^{\oplus 2}$