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

• Label: 1520.2.cf
• Level: $1520$
• Weight: $2$
• Character orbit: 1520.cf
• Rep. character: $\chi_{1520}(597,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $944$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1520 = 2^{4} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1520.cf (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1520 \)
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	976	0
Cusp forms	944	944	0
Eisenstein series	32	32	0

Trace form

944 * q - 6 * q^2 + 4 * q^4 - 2 * q^5 - 4 * q^6 - 456 * q^9 - 6 * q^10 - 16 * q^11 - 12 * q^15 - 8 * q^16 - 4 * q^17 - 8 * q^19 - 20 * q^20 - 12 * q^21 + 6 * q^22 - 12 * q^24 - 48 * q^26 - 16 * q^28 + 4 * q^30 - 36 * q^32 - 12 * q^33 - 48 * q^34 + 32 * q^35 + 44 * q^36 - 34 * q^38 + 48 * q^39 - 48 * q^40 + 30 * q^42 - 4 * q^43 - 16 * q^44 + 24 * q^45 - 4 * q^47 + 36 * q^48 + 12 * q^51 - 6 * q^52 - 12 * q^53 - 4 * q^54 + 12 * q^57 + 108 * q^58 - 18 * q^60 + 28 * q^61 + 12 * q^62 - 32 * q^63 + 64 * q^64 - 68 * q^66 - 12 * q^67 - 52 * q^68 - 6 * q^70 - 48 * q^72 - 24 * q^74 + 24 * q^76 + 96 * q^77 - 72 * q^78 - 8 * q^80 - 416 * q^81 + 56 * q^82 - 22 * q^85 - 12 * q^86 + 24 * q^87 + 30 * q^90 - 12 * q^91 - 16 * q^92 - 32 * q^95 - 56 * q^96 - 12 * q^97 - 36 * q^98 - 8 * 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.