Space of modular forms of level 1532, weight 2, and Character 1532.b

• Label: 1532.2.b
• Level: $1532$
• Weight: $2$
• Character orbit: 1532.b
• Rep. character: $\chi_{1532}(1531,\cdot)$
• Character field: $\Q$
• Dimension: $190$
• Sturm bound: $384$

Defining parameters

Level:	\( N \)	\(=\)	\( 1532 = 2^{2} \cdot 383 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1532.b (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1532 \)
Character field:			\(\Q\)
Sturm bound:			\(384\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1532, [\chi])\).

	Total	New	Old
Modular forms	194	194	0
Cusp forms	190	190	0
Eisenstein series	4	4	0

Trace form

190 * q - 2 * q^2 + 2 * q^4 + 6 * q^6 - 2 * q^8 - 190 * q^9 + 22 * q^12 + 12 * q^14 + 2 * q^16 - 4 * q^17 - 10 * q^18 - 26 * q^24 - 186 * q^25 - 10 * q^28 - 12 * q^29 - 32 * q^32 - 20 * q^34 - 4 * q^36 + 26 * q^38 + 24 * q^42 - 54 * q^46 - 12 * q^48 - 190 * q^49 - 64 * q^50 + 38 * q^54 + 58 * q^56 + 8 * q^57 + 32 * q^58 - 16 * q^62 - 22 * q^64 + 8 * q^65 - 18 * q^68 - 56 * q^69 - 32 * q^72 - 4 * q^73 + 222 * q^81 - 68 * q^84 - 54 * q^86 - 42 * q^92 + 32 * q^93 - 15 * q^96 + 3 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1532, [\chi])\) into newform subspaces

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