Space of modular forms of level 2380, weight 2, and Character 2380.eb

• Label: 2380.2.eb
• Level: $2380$
• Weight: $2$
• Character orbit: 2380.eb
• Rep. character: $\chi_{2380}(99,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $2592$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2380 = 2^{2} \cdot 5 \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2380.eb (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 340 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2380, [\chi])\).

	Total	New	Old
Modular forms	3520	2592	928
Cusp forms	3392	2592	800
Eisenstein series	128	0	128

Trace form

\( 2592 q + 32 q^{24} + 128 q^{34} - 128 q^{36} - 32 q^{46} - 208 q^{60} + 208 q^{65} - 112 q^{80} + 16 q^{85} + 160 q^{86} - 240 q^{90} + 608 q^{96}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2380, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2380, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2380, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(340, [\chi])\)\(^{\oplus 2}\)