Space of modular forms of level 2300, weight 2, and Character 2300.bm

• Label: 2300.2.bm
• Level: $2300$
• Weight: $2$
• Character orbit: 2300.bm
• Rep. character: $\chi_{2300}(11,\cdot)$
• Character field: $\Q(\zeta_{110})$
• Dimension: $14240$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2300 = 2^{2} \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2300.bm (of order \(110\) and degree \(40\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2300 \)
Character field:			\(\Q(\zeta_{110})\)
Sturm bound:			\(720\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2300, [\chi])\).

	Total	New	Old
Modular forms	14560	14560	0
Cusp forms	14240	14240	0
Eisenstein series	320	320	0

Trace form

14240 * q - 27 * q^2 - 27 * q^4 - 88 * q^5 - 19 * q^6 - 27 * q^8 - 402 * q^9 - 44 * q^10 - 15 * q^12 - 54 * q^13 - 33 * q^14 - 27 * q^16 - 66 * q^17 - 68 * q^18 - 44 * q^20 - 66 * q^21 - 148 * q^24 - 72 * q^25 - 100 * q^26 - 33 * q^28 - 54 * q^29 - 44 * q^30 - 52 * q^32 - 66 * q^33 - 33 * q^34 - 31 * q^36 - 66 * q^37 - 33 * q^38 - 44 * q^40 - 54 * q^41 - 253 * q^42 - 33 * q^44 - 46 * q^46 - 61 * q^48 - 1472 * q^49 + 68 * q^50 + 173 * q^52 - 66 * q^53 - 139 * q^54 - 33 * q^56 - 176 * q^57 - 67 * q^58 - 44 * q^60 - 66 * q^61 + 47 * q^62 - 27 * q^64 - 88 * q^65 + 33 * q^66 - 72 * q^69 - 64 * q^70 + 22 * q^72 - 54 * q^73 - 88 * q^74 + 22 * q^76 - 18 * q^77 - 139 * q^78 + 55 * q^80 + 510 * q^81 - 33 * q^84 - 176 * q^85 - 363 * q^86 - 33 * q^88 - 66 * q^89 + 143 * q^90 + 83 * q^92 - 216 * q^93 - 83 * q^94 + 337 * q^96 - 66 * q^97 - 15 * q^98

Decomposition of \(S_{2}^{\mathrm{new}}(2300, [\chi])\) into newform subspaces

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