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

• Label: 2300.2.g
• Level: $2300$
• Weight: $2$
• Character orbit: 2300.g
• Rep. character: $\chi_{2300}(2299,\cdot)$
• Character field: $\Q$
• Dimension: $212$
• Sturm bound: $720$

Defining parameters

Level:	\( N \)	\(=\)	\( 2300 = 2^{2} \cdot 5^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2300.g (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 460 \)
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	220	152
Cusp forms	348	212	136
Eisenstein series	24	8	16

Trace form

\( 212 q + 12 q^{4} + 12 q^{6} + 212 q^{9} + O(q^{10}) \)

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

\( S_{2}^{\mathrm{old}}(2300, [\chi]) \cong \)