Space of modular forms of level 1404, weight 2, and Character 1404.dc

• Label: 1404.2.dc
• Level: $1404$
• Weight: $2$
• Character orbit: 1404.dc
• Rep. character: $\chi_{1404}(23,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1488$
• Sturm bound: $504$

Defining parameters

Level:	\( N \)	\(=\)	\( 1404 = 2^{2} \cdot 3^{3} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1404.dc (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1404 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(504\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1404, [\chi])\).

	Total	New	Old
Modular forms	1536	1536	0
Cusp forms	1488	1488	0
Eisenstein series	48	48	0

Trace form

1488 * q - 9 * q^2 - 3 * q^4 - 9 * q^6 - 6 * q^9 - 6 * q^10 - 21 * q^12 - 12 * q^13 - 12 * q^14 - 3 * q^16 - 18 * q^17 - 9 * q^20 - 3 * q^22 - 9 * q^24 - 24 * q^25 + 27 * q^26 - 18 * q^28 - 6 * q^29 + 9 * q^30 - 9 * q^32 - 18 * q^33 - 18 * q^34 + 57 * q^36 - 48 * q^38 + 18 * q^40 - 18 * q^41 - 3 * q^42 - 72 * q^44 - 18 * q^45 - 21 * q^48 - 6 * q^49 - 54 * q^50 - 33 * q^52 - 9 * q^54 + 18 * q^56 - 54 * q^57 - 9 * q^58 - 6 * q^61 - 9 * q^62 - 6 * q^64 + 36 * q^65 - 108 * q^66 - 105 * q^68 - 54 * q^69 + 45 * q^70 + 63 * q^72 - 21 * q^74 - 9 * q^76 - 48 * q^77 + 3 * q^78 + 18 * q^81 - 6 * q^82 - 9 * q^84 - 18 * q^85 + 162 * q^86 - 51 * q^88 - 18 * q^89 - 39 * q^90 - 72 * q^92 - 18 * q^93 - 57 * q^94 - 18 * q^97 + 162 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(1404, [\chi])\) into newform subspaces

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