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

• Label: 1305.2.ct
• Level: $1305$
• Weight: $2$
• Character orbit: 1305.ct
• Rep. character: $\chi_{1305}(14,\cdot)$
• Character field: $\Q(\zeta_{84})$
• Dimension: $4224$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 1305 = 3^{2} \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1305.ct (of order \(84\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1305 \)
Character field:			\(\Q(\zeta_{84})\)
Sturm bound:			\(360\)

Dimensions

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

	Total	New	Old
Modular forms	4416	4416	0
Cusp forms	4224	4224	0
Eisenstein series	192	192	0

Trace form

4224 * q - 28 * q^4 - 42 * q^5 - 56 * q^6 - 56 * q^9 - 40 * q^10 - 84 * q^11 - 84 * q^14 - 12 * q^15 - 348 * q^16 - 96 * q^19 - 30 * q^20 - 44 * q^21 + 52 * q^24 - 10 * q^25 - 108 * q^29 + 32 * q^30 - 24 * q^31 - 28 * q^34 + 112 * q^36 - 4 * q^39 - 38 * q^40 - 60 * q^41 - 24 * q^45 - 136 * q^46 - 324 * q^49 - 36 * q^50 - 56 * q^51 - 96 * q^54 - 212 * q^55 - 168 * q^56 - 144 * q^59 - 16 * q^60 - 12 * q^61 - 112 * q^64 + 6 * q^65 + 60 * q^66 - 40 * q^69 - 62 * q^70 - 228 * q^74 - 42 * q^75 - 24 * q^76 + 12 * q^79 - 128 * q^81 - 116 * q^84 + 2 * q^85 + 104 * q^90 - 112 * q^91 - 20 * q^94 - 6 * q^95 - 448 * q^96 + 68 * 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.