Space of modular forms of level 2385, weight 2, and Character 2385.g

• Label: 2385.2.g
• Level: $2385$
• Weight: $2$
• Character orbit: 2385.g
• Rep. character: $\chi_{2385}(1324,\cdot)$
• Character field: $\Q$
• Dimension: $132$
• Sturm bound: $648$

Defining parameters

Level:	\( N \)	\(=\)	\( 2385 = 3^{2} \cdot 5 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2385.g (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 265 \)
Character field:			\(\Q\)
Sturm bound:			\(648\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2385, [\chi])\).

	Total	New	Old
Modular forms	332	136	196
Cusp forms	316	132	184
Eisenstein series	16	4	12

Trace form

\( 132 q + 128 q^{4} - 8 q^{10} + 120 q^{16} + 36 q^{29} - 40 q^{40} + 12 q^{44} - 16 q^{46} - 116 q^{49} + 44 q^{59} + 92 q^{64} - 8 q^{70} + 4 q^{89} + 88 q^{91} - 48 q^{95}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2385, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2385, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2385, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(265, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(795, [\chi])\)\(^{\oplus 2}\)