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

• Label: 1520.2.ds
• Level: $1520$
• Weight: $2$
• Character orbit: 1520.ds
• Rep. character: $\chi_{1520}(149,\cdot)$
• Character field: $\Q(\zeta_{36})$
• Dimension: $2832$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1520 = 2^{4} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1520.ds (of order \(36\) and degree \(12\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1520 \)
Character field:			\(\Q(\zeta_{36})\)
Sturm bound:			\(480\)

Dimensions

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

	Total	New	Old
Modular forms	2928	2928	0
Cusp forms	2832	2832	0
Eisenstein series	96	96	0

Trace form

2832 * q - 24 * q^4 - 12 * q^5 - 24 * q^6 + 6 * q^10 - 12 * q^11 - 24 * q^15 - 36 * q^16 - 24 * q^19 - 24 * q^20 + 12 * q^21 - 24 * q^24 - 60 * q^26 - 24 * q^29 - 48 * q^30 - 168 * q^31 - 24 * q^34 + 18 * q^35 - 72 * q^36 + 18 * q^40 - 24 * q^44 - 6 * q^45 - 12 * q^46 - 1296 * q^49 + 12 * q^50 - 72 * q^54 + 120 * q^56 - 24 * q^59 - 54 * q^60 - 24 * q^61 - 12 * q^64 - 12 * q^65 - 24 * q^66 + 36 * q^69 - 42 * q^70 - 24 * q^74 - 192 * q^75 - 24 * q^76 - 48 * q^79 + 48 * q^80 - 48 * q^81 + 156 * q^84 - 12 * q^85 - 24 * q^86 - 12 * q^90 + 60 * q^91 + 120 * q^94 - 24 * q^95 - 144 * q^96 - 132 * 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.