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

• Label: 2300.2.e
• Level: $2300$
• Weight: $2$
• Character orbit: 2300.e
• Rep. character: $\chi_{2300}(551,\cdot)$
• Character field: $\Q$
• Dimension: $222$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2300 = 2^{2} \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2300.e (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 92 \)
Character field:			\(\Q\)
Sturm bound:			\(720\)

Dimensions

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

	Total	New	Old
Modular forms	372	234	138
Cusp forms	348	222	126
Eisenstein series	24	12	12

Trace form

222 * q - 4 * q^4 - 3 * q^6 + 3 * q^8 - 206 * q^9 - q^12 + 4 * q^13 - 12 * q^16 + 13 * q^18 + 16 * q^24 + q^26 + 12 * q^29 - 33 * q^36 - 4 * q^41 - 53 * q^48 + 198 * q^49 - 53 * q^52 - 7 * q^54 + 9 * q^58 + 5 * q^62 - 61 * q^64 + 52 * q^69 + 67 * q^72 + 4 * q^73 + 56 * q^77 - 99 * q^78 + 94 * q^81 - 23 * q^82 - 40 * q^92 + 72 * q^93 - 7 * q^94 - 5 * q^96 - 16 * 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.

Decomposition of \(S_{2}^{\mathrm{old}}(2300, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2300, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(92, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(460, [\chi])\)\(^{\oplus 2}\)