Space of modular forms of level 1520, weight 2, and Character 1520.ck

• Label: 1520.2.ck
• Level: $1520$
• Weight: $2$
• Character orbit: 1520.ck
• Rep. character: $\chi_{1520}(501,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $640$
• Sturm bound: $480$

Defining parameters

Level:	$N$	$=$	$1520 = 2^{4} \cdot 5 \cdot 19$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	1520.ck (of order $12$ and degree $4$)
Character conductor:	$\operatorname{cond}(\chi)$	$=$	$304$
Character field:			$\Q(\zeta_{12})$
Sturm bound:			$480$

Dimensions

The following table gives the dimensions of various subspaces of $M_{2}(1520, [\chi])$.

	Total	New	Old
Modular forms	976	640	336
Cusp forms	944	640	304
Eisenstein series	32	0	32

Trace form

640 * q + 4 * q^10 + 16 * q^15 - 4 * q^16 + 8 * q^19 + 8 * q^24 - 32 * q^26 - 40 * q^28 - 40 * q^32 + 28 * q^34 - 16 * q^36 + 40 * q^38 + 40 * q^42 + 44 * q^44 - 112 * q^46 + 80 * q^48 - 640 * q^49 + 8 * q^51 + 32 * q^52 + 60 * q^54 - 24 * q^56 + 56 * q^58 - 32 * q^61 + 64 * q^62 - 48 * q^64 - 104 * q^66 + 88 * q^68 + 64 * q^69 - 56 * q^72 - 16 * q^74 - 96 * q^76 - 32 * q^79 - 16 * q^80 + 320 * q^81 + 80 * q^82 + 88 * q^84 - 16 * q^85 - 32 * q^86 - 40 * q^88 + 36 * q^90 + 24 * q^92 + 24 * q^94 + 456 * q^96 - 108 * q^98 - 32 * q^99

Decomposition of $S_{2}^{\mathrm{new}}(1520, [\chi])$ into newform subspaces

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

Decomposition of $S_{2}^{\mathrm{old}}(1520, [\chi])$ into lower level spaces

$S_{2}^{\mathrm{old}}(1520, [\chi]) \simeq$ $S_{2}^{\mathrm{new}}(304, [\chi])$$^{\oplus 2}$