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

• Label: 1360.2.v
• Level: $1360$
• Weight: $2$
• Character orbit: 1360.v
• Rep. character: $\chi_{1360}(747,\cdot)$
• 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.v (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^2 - 8 * q^4 - 4 * q^8 - 408 * q^9 + 24 * q^15 - 16 * q^16 - 4 * q^17 - 16 * q^19 - 8 * q^21 - 8 * q^26 + 60 * q^30 - 24 * q^32 - 8 * q^33 + 24 * q^34 - 24 * q^35 - 8 * q^36 - 24 * q^38 + 60 * q^42 - 32 * q^50 - 12 * q^51 + 12 * q^52 - 8 * q^53 - 8 * q^55 - 32 * q^59 + 44 * q^60 - 32 * q^64 - 32 * q^66 - 28 * q^68 - 8 * q^69 - 8 * q^70 + 56 * q^72 - 40 * q^76 + 48 * q^77 + 344 * q^81 - 8 * q^83 + 48 * q^84 - 12 * q^85 - 24 * q^86 - 8 * q^87 + 16 * q^94 - 8 * q^98

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

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