Space of modular forms of level 1368, weight 2, and Character 1368.eb

• Label: 1368.2.eb
• Level: $1368$
• Weight: $2$
• Character orbit: 1368.eb
• Rep. character: $\chi_{1368}(131,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $1416$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1368 = 2^{3} \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1368.eb (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1368 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1368, [\chi])\).

	Total	New	Old
Modular forms	1464	1464	0
Cusp forms	1416	1416	0
Eisenstein series	48	48	0

Trace form

1416 * q - 9 * q^2 - 12 * q^3 - 3 * q^4 - 6 * q^6 - 12 * q^9 - 12 * q^10 - 3 * q^12 - 9 * q^14 - 3 * q^16 - 12 * q^18 - 24 * q^19 - 18 * q^20 + 21 * q^22 + 6 * q^24 - 6 * q^25 - 72 * q^26 - 6 * q^27 + 15 * q^30 - 9 * q^32 + 24 * q^33 + 33 * q^34 - 90 * q^35 + 54 * q^36 - 9 * q^38 + 27 * q^40 - 18 * q^41 + 39 * q^42 - 6 * q^43 - 63 * q^44 - 6 * q^46 + 6 * q^48 + 642 * q^49 - 12 * q^51 - 3 * q^52 + 39 * q^54 + 45 * q^56 - 12 * q^57 - 6 * q^58 - 18 * q^59 - 87 * q^60 + 18 * q^62 - 24 * q^64 + 90 * q^66 - 6 * q^67 - 9 * q^68 - 45 * q^70 + 12 * q^72 - 24 * q^73 + 135 * q^74 - 192 * q^75 - 3 * q^76 - 69 * q^78 - 36 * q^81 - 12 * q^82 - 18 * q^83 - 45 * q^84 + 153 * q^86 + 51 * q^88 + 69 * q^90 + 18 * q^91 - 9 * q^92 - 6 * q^94 - 87 * q^96 - 6 * q^97 - 45 * q^98 + 96 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1368, [\chi])\) into newform subspaces

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