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

• Label: 1360.2.bc
• Level: $1360$
• Weight: $2$
• Character orbit: 1360.bc
• Rep. character: $\chi_{1360}(523,\cdot)$
• 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.bc (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 + 4 * q^3 + 2 * q^10 - 4 * q^12 - 8 * q^13 - 4 * q^17 + 4 * q^18 - 10 * q^20 - 8 * q^21 - 4 * q^22 - 8 * q^23 - 8 * q^24 - 8 * q^27 + 12 * q^28 - 56 * q^30 - 16 * q^31 - 20 * q^32 - 8 * q^33 - 4 * q^34 - 4 * q^35 - 4 * q^37 + 4 * q^38 - 42 * q^40 - 8 * q^42 - 8 * q^44 - 12 * q^45 + 8 * q^46 + 12 * q^48 - 376 * q^49 - 32 * q^50 - 12 * q^51 - 20 * q^52 + 20 * q^54 - 8 * q^55 + 4 * q^56 - 24 * q^57 - 36 * q^58 - 32 * q^59 - 60 * q^60 - 60 * q^62 + 24 * q^63 + 4 * q^65 + 48 * q^66 - 8 * q^67 - 12 * q^68 - 32 * q^69 + 8 * q^70 + 24 * q^71 + 48 * q^72 + 16 * q^73 + 8 * q^74 - 12 * q^75 + 32 * q^76 + 56 * q^77 - 12 * q^78 + 22 * q^80 - 376 * q^81 + 28 * q^82 - 24 * q^84 - 12 * q^85 - 24 * q^86 + 32 * q^88 - 2 * q^90 + 40 * q^92 + 88 * q^94 - 20 * q^95 - 48 * q^96 - 8 * q^97 - 40 * q^98 + 24 * 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.