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

• Label: 1305.2.cv
• Level: $1305$
• Weight: $2$
• Character orbit: 1305.cv
• Rep. character: $\chi_{1305}(23,\cdot)$
• 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.cv (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 - 30 * q^2 - 20 * q^3 - 30 * q^5 - 10 * q^7 - 40 * q^10 - 84 * q^11 - 28 * q^12 - 10 * q^13 - 32 * q^15 - 348 * q^16 + 112 * q^18 - 30 * q^20 + 24 * q^21 + 6 * q^22 - 30 * q^23 - 10 * q^25 - 50 * q^27 - 80 * q^28 - 28 * q^30 - 20 * q^31 + 18 * q^32 - 20 * q^33 - 96 * q^36 - 40 * q^37 - 18 * q^38 - 26 * q^40 - 168 * q^41 - 48 * q^42 - 10 * q^43 + 12 * q^45 - 240 * q^46 + 30 * q^47 - 156 * q^48 - 30 * q^50 - 64 * q^51 + 14 * q^52 + 12 * q^56 - 28 * q^57 - 8 * q^58 - 16 * q^60 - 44 * q^61 - 40 * q^63 - 30 * q^65 + 40 * q^66 - 10 * q^67 - 294 * q^68 - 64 * q^70 + 72 * q^72 - 40 * q^73 - 312 * q^75 - 52 * q^76 - 126 * q^77 + 36 * q^78 + 64 * q^81 - 176 * q^82 + 90 * q^83 - 58 * q^85 + 72 * q^86 + 32 * q^87 - 16 * q^88 - 132 * q^90 - 200 * q^91 - 90 * q^92 + 12 * q^93 + 30 * q^95 + 32 * q^96 + 110 * q^97

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

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