Space of modular forms of level 1512, weight 2, and Character 1512.di

• Label: 1512.2.di
• Level: $1512$
• Weight: $2$
• Character orbit: 1512.di
• Rep. character: $\chi_{1512}(115,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1704$
• Sturm bound: $576$

Defining parameters

Level:	\( N \)	\(=\)	\( 1512 = 2^{3} \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1512.di (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1512 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(576\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1512, [\chi])\).

	Total	New	Old
Modular forms	1752	1752	0
Cusp forms	1704	1704	0
Eisenstein series	48	48	0

Trace form

1704 * q - 3 * q^2 - 18 * q^3 - 3 * q^4 - 6 * q^8 - 6 * q^9 - 6 * q^11 - 9 * q^12 + 9 * q^14 - 3 * q^16 - 3 * q^18 - 12 * q^22 - 9 * q^24 - 6 * q^25 - 18 * q^26 - 12 * q^28 + 33 * q^30 - 33 * q^32 - 18 * q^33 + 18 * q^34 - 6 * q^35 - 42 * q^36 + 81 * q^38 - 54 * q^40 + 9 * q^42 - 24 * q^43 + 3 * q^44 + 3 * q^46 - 12 * q^49 - 27 * q^50 + 66 * q^51 - 9 * q^52 - 135 * q^54 - 69 * q^56 - 6 * q^57 - 3 * q^58 - 18 * q^59 - 33 * q^60 - 99 * q^62 - 6 * q^64 - 6 * q^65 - 9 * q^66 - 6 * q^67 + 36 * q^68 - 60 * q^70 - 111 * q^72 - 18 * q^73 + 69 * q^74 - 18 * q^75 + 36 * q^76 - 30 * q^78 - 18 * q^80 - 6 * q^81 - 18 * q^82 + 180 * q^83 + 66 * q^84 - 81 * q^86 + 45 * q^88 + 81 * q^90 - 6 * q^91 - 72 * q^92 - 9 * q^94 - 9 * q^96 + 111 * q^98 - 24 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1512, [\chi])\) into newform subspaces

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