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

• Label: 1596.2.dq
• Level: $1596$
• Weight: $2$
• Character orbit: 1596.dq
• Rep. character: $\chi_{1596}(59,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1872$
• Sturm bound: $640$

Defining parameters

Level:	\( N \)	\(=\)	\( 1596 = 2^{2} \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1596.dq (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1596 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(640\)

Dimensions

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

	Total	New	Old
Modular forms	1968	1968	0
Cusp forms	1872	1872	0
Eisenstein series	96	96	0

Trace form

1872 * q - 6 * q^4 - 6 * q^9 - 18 * q^10 - 9 * q^12 - 36 * q^13 - 6 * q^16 - 48 * q^21 - 36 * q^22 - 9 * q^24 - 12 * q^25 + 36 * q^28 - 6 * q^30 - 18 * q^33 + 48 * q^36 + 72 * q^40 - 51 * q^42 - 18 * q^46 + 99 * q^48 - 12 * q^49 - 18 * q^52 + 9 * q^54 - 24 * q^57 + 24 * q^58 - 24 * q^60 - 36 * q^61 - 12 * q^64 - 99 * q^66 - 132 * q^70 - 111 * q^72 - 36 * q^73 - 21 * q^78 - 6 * q^81 - 18 * q^82 - 9 * q^84 - 24 * q^85 + 144 * q^90 + 66 * q^93 + 135 * 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.