Space of modular forms of level 2299, weight 2, and Character 2299.bp

• Label: 2299.2.bp
• Level: $2299$
• Weight: $2$
• Character orbit: 2299.bp
• Rep. character: $\chi_{2299}(8,\cdot)$
• Character field: $\Q(\zeta_{330})$
• Dimension: $17440$
• Sturm bound: $440$

Defining parameters

Level:	\( N \)	\(=\)	\( 2299 = 11^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2299.bp (of order \(330\) and degree \(80\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2299 \)
Character field:			\(\Q(\zeta_{330})\)
Sturm bound:			\(440\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2299, [\chi])\).

	Total	New	Old
Modular forms	17760	17760	0
Cusp forms	17440	17440	0
Eisenstein series	320	320	0

Trace form

17440 * q - 117 * q^2 - 96 * q^3 - 257 * q^4 - 43 * q^5 + 10 * q^6 - 166 * q^7 - 2176 * q^9 - 132 * q^10 - 186 * q^11 - 117 * q^13 - 129 * q^14 - 135 * q^15 - 257 * q^16 - 44 * q^17 - 93 * q^19 - 84 * q^20 - 33 * q^21 - 249 * q^22 - 28 * q^23 - 9 * q^24 - 267 * q^25 - 110 * q^26 - 39 * q^28 - 192 * q^29 - 60 * q^30 - 132 * q^32 + 27 * q^33 - 78 * q^34 - 19 * q^35 + 46 * q^36 - 167 * q^38 - 120 * q^39 - 255 * q^40 - 207 * q^41 - 52 * q^42 - 44 * q^43 - 36 * q^44 - 184 * q^45 - 37 * q^47 - 6 * q^48 - 598 * q^49 - 363 * q^51 + 222 * q^52 - 312 * q^53 - 231 * q^54 + 15 * q^55 + 147 * q^57 - 64 * q^58 - 156 * q^59 - 147 * q^60 - 54 * q^61 + 46 * q^62 + 99 * q^63 + 320 * q^64 + 31 * q^66 - 30 * q^67 - 156 * q^68 - 402 * q^70 + 21 * q^71 - 471 * q^72 - 59 * q^73 + 11 * q^74 - 110 * q^76 - 132 * q^77 + 255 * q^78 - 117 * q^79 - 9 * q^80 + 1897 * q^81 - 58 * q^82 - 76 * q^83 + 70 * q^85 - 123 * q^86 - 110 * q^87 - 162 * q^89 + 396 * q^90 - 123 * q^91 - 174 * q^92 + 10 * q^93 - 150 * q^95 - 540 * q^96 - 147 * q^97 - 132 * q^98 + 55 * q^99

Decomposition of \(S_{2}^{\mathrm{new}}(2299, [\chi])\) into newform subspaces

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