Space of modular forms of level 1596, weight 2, and Character 1596.bi

• Label: 1596.2.bi
• Level: $1596$
• Weight: $2$
• Character orbit: 1596.bi
• Rep. character: $\chi_{1596}(563,\cdot)$
• Character field: $\Q(\zeta_{6})$
• Dimension: $624$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 1596 = 2^{2} \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1596.bi (of order \(6\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1596 \)
Character field:			\(\Q(\zeta_{6})\)
Sturm bound:			\(640\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1596, [\chi])\).

	Total	New	Old
Modular forms	656	656	0
Cusp forms	624	624	0
Eisenstein series	32	32	0

Trace form

624 * q + 2 * q^4 - 12 * q^6 - 4 * q^9 - 6 * q^10 - 12 * q^13 + 2 * q^16 + 12 * q^18 + 12 * q^21 - 276 * q^25 - 18 * q^28 + 7 * q^30 - 6 * q^33 + 12 * q^37 - 36 * q^40 + 6 * q^42 - 12 * q^45 - 24 * q^46 - 33 * q^48 - 28 * q^49 - 12 * q^52 - 9 * q^54 + 6 * q^57 - 24 * q^58 - 16 * q^64 + 63 * q^66 - 36 * q^69 - 42 * q^70 + 48 * q^76 + 21 * q^78 + 28 * q^81 + 21 * q^84 - 56 * q^85 - 36 * q^88 + 75 * q^90 + 14 * q^93 - 36 * q^94 - 108 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(1596, [\chi])\) into newform subspaces

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