Space of modular forms of level 1305, weight 2, and Character 1305.bl

• Label: 1305.2.bl
• Level: $1305$
• Weight: $2$
• Character orbit: 1305.bl
• Rep. character: $\chi_{1305}(104,\cdot)$
• Character field: $\Q(\zeta_{12})$
• Dimension: $704$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1305 = 3^{2} \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1305.bl (of order \(12\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1305 \)
Character field:			\(\Q(\zeta_{12})\)
Sturm bound:			\(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1305, [\chi])\).

	Total	New	Old
Modular forms	736	736	0
Cusp forms	704	704	0
Eisenstein series	32	32	0

Trace form

704 * q - 16 * q^10 - 16 * q^15 + 320 * q^16 - 16 * q^19 - 12 * q^20 - 40 * q^21 - 24 * q^24 - 4 * q^25 + 24 * q^29 - 4 * q^30 - 4 * q^31 - 24 * q^39 + 24 * q^40 - 24 * q^41 - 4 * q^45 + 24 * q^46 + 296 * q^49 - 6 * q^50 + 40 * q^54 - 12 * q^55 - 84 * q^56 - 24 * q^59 + 16 * q^60 - 16 * q^61 - 48 * q^65 - 116 * q^66 - 16 * q^69 + 48 * q^70 + 144 * q^74 + 84 * q^75 - 4 * q^76 - 40 * q^79 - 152 * q^81 - 108 * q^84 - 16 * q^85 + 8 * q^90 - 8 * q^94 - 36 * q^95 - 12 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(1305, [\chi])\) into newform subspaces

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