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

• Label: 2300.2.s
• Level: $2300$
• Weight: $2$
• Character orbit: 2300.s
• Rep. character: $\chi_{2300}(91,\cdot)$
• Character field: $\Q(\zeta_{10})$
• Dimension: $1424$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2300 = 2^{2} \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2300.s (of order \(10\) and degree \(4\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2300 \)
Character field:			\(\Q(\zeta_{10})\)
Sturm bound:			\(720\)

Dimensions

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

	Total	New	Old
Modular forms	1456	1456	0
Cusp forms	1424	1424	0
Eisenstein series	32	32	0

Trace form

1424 * q - 6 * q^2 - 6 * q^4 - 14 * q^6 - 6 * q^8 + 336 * q^9 - 18 * q^12 - 12 * q^13 - 6 * q^16 - 20 * q^18 - 28 * q^24 - 16 * q^25 + 12 * q^26 - 12 * q^29 - 36 * q^32 - 2 * q^36 - 12 * q^41 + 13 * q^46 + 28 * q^48 + 1296 * q^49 - 112 * q^50 + 124 * q^52 + 106 * q^54 + 34 * q^58 - 80 * q^62 - 6 * q^64 + 6 * q^69 - 24 * q^70 + 44 * q^72 - 12 * q^73 - 48 * q^77 + 106 * q^78 - 312 * q^81 - 88 * q^82 - 44 * q^85 - 116 * q^92 - 136 * q^93 + 6 * q^94 + 48 * q^96 - 18 * 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.