Space of modular forms of level 1360, weight 2, and Character 1360.z

• Label: 1360.2.z
• Level: $1360$
• Weight: $2$
• Character orbit: 1360.z
• Rep. character: $\chi_{1360}(149,\cdot)$
• Character field: $\Q(\zeta_{4})$
• Dimension: $424$
• Sturm bound: $432$

Defining parameters

Level:	\( N \)	\(=\)	\( 1360 = 2^{4} \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1360.z (of order \(4\) and degree \(2\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1360 \)
Character field:			\(\Q(i)\)
Sturm bound:			\(432\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1360, [\chi])\).

	Total	New	Old
Modular forms	440	440	0
Cusp forms	424	424	0
Eisenstein series	16	16	0

Trace form

424 * q - 8 * q^4 - 408 * q^9 - 6 * q^10 - 8 * q^11 + 12 * q^14 - 16 * q^16 + 6 * q^20 - 8 * q^21 + 12 * q^24 - 8 * q^29 + 8 * q^30 - 8 * q^31 - 12 * q^34 - 4 * q^35 + 24 * q^36 + 24 * q^39 + 18 * q^40 - 56 * q^44 + 16 * q^46 + 4 * q^50 + 60 * q^54 + 16 * q^56 + 32 * q^59 - 68 * q^60 - 32 * q^64 - 12 * q^65 - 24 * q^66 - 40 * q^69 + 20 * q^70 + 32 * q^74 + 8 * q^75 - 16 * q^76 - 24 * q^79 - 10 * q^80 + 344 * q^81 - 8 * q^84 - 12 * q^85 - 32 * q^86 - 58 * q^90 - 96 * q^91 - 24 * q^94 - 4 * q^95 + 40 * q^96 - 56 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1360, [\chi])\) into newform subspaces

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