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

• Label: 2548.2.ep
• Level: $2548$
• Weight: $2$
• Character orbit: 2548.ep
• Rep. character: $\chi_{2548}(33,\cdot)$
• Character field: $\Q(\zeta_{84})$
• Dimension: $1560$
• Sturm bound: $784$

Defining parameters

Level:	$N$	$=$	$2548 = 2^{2} \cdot 7^{2} \cdot 13$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	2548.ep (of order $84$ and degree $24$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$637$
Character field:			$\Q(\zeta_{84})$
Sturm bound:			$784$

Dimensions

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

	Total	New	Old
Modular forms	9552	1560	7992
Cusp forms	9264	1560	7704
Eisenstein series	288	0	288

Trace form

1560 * q - 2 * q^7 + 256 * q^9 - 4 * q^11 + 26 * q^19 + 2 * q^21 - 4 * q^29 - 16 * q^31 + 24 * q^33 + 16 * q^35 - 48 * q^37 - 36 * q^39 + 30 * q^41 - 12 * q^43 + 70 * q^45 + 174 * q^47 - 14 * q^49 + 12 * q^53 + 90 * q^55 - 6 * q^57 - 28 * q^59 - 48 * q^63 - 48 * q^65 - 58 * q^67 - 42 * q^69 - 38 * q^71 + 112 * q^73 + 14 * q^75 + 8 * q^79 - 276 * q^81 - 178 * q^83 + 68 * q^85 - 28 * q^87 - 46 * q^89 - 18 * q^91 - 172 * q^93 + 24 * q^95 - 242 * 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}$