Space of modular forms of level 2366, weight 2, and Character 2366.cb

• Label: 2366.2.cb
• Level: $2366$
• Weight: $2$
• Character orbit: 2366.cb
• Rep. character: $\chi_{2366}(45,\cdot)$
• Character field: $\Q(\zeta_{156})$
• Dimension: $5856$
• Sturm bound: $728$

Defining parameters

Level:	\( N \)	\(=\)	\( 2366 = 2 \cdot 7 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2366.cb (of order \(156\) and degree \(48\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1183 \)
Character field:			\(\Q(\zeta_{156})\)
Sturm bound:			\(728\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2366, [\chi])\).

	Total	New	Old
Modular forms	17664	5856	11808
Cusp forms	17280	5856	11424
Eisenstein series	384	0	384

Trace form

5856 * q + 4 * q^7 - 248 * q^9 - 4 * q^12 + 16 * q^15 + 488 * q^16 + 8 * q^18 + 16 * q^19 + 4 * q^21 + 8 * q^28 + 8 * q^29 + 184 * q^30 + 4 * q^31 - 36 * q^33 - 16 * q^35 + 24 * q^36 + 8 * q^37 + 232 * q^39 + 24 * q^41 + 24 * q^42 + 72 * q^43 - 12 * q^44 - 4 * q^49 + 24 * q^51 - 4 * q^52 + 8 * q^53 - 36 * q^54 - 36 * q^55 + 12 * q^56 + 12 * q^57 + 8 * q^58 + 8 * q^60 + 36 * q^62 - 152 * q^63 + 16 * q^65 - 252 * q^67 - 84 * q^69 + 200 * q^70 - 28 * q^71 - 8 * q^72 + 44 * q^73 + 168 * q^74 - 56 * q^75 - 32 * q^76 - 8 * q^78 + 24 * q^79 + 252 * q^81 - 48 * q^82 + 108 * q^83 - 24 * q^84 - 264 * q^85 + 104 * q^86 + 12 * q^89 - 52 * q^91 - 16 * q^92 + 24 * q^93 - 60 * q^94 + 380 * q^97 - 88 * q^98 - 28 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2366, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2366, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2366, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1183, [\chi])\)\(^{\oplus 2}\)