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

• Label: 2380.2.eh
• Level: $2380$
• Weight: $2$
• Character orbit: 2380.eh
• Rep. character: $\chi_{2380}(27,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $3392$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2380 = 2^{2} \cdot 5 \cdot 7 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2380.eh (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 2380 \)
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	3520	0
Cusp forms	3392	3392	0
Eisenstein series	128	128	0

Trace form

3392 * q - 16 * q^2 - 16 * q^8 - 32 * q^14 - 32 * q^18 - 32 * q^21 - 16 * q^22 - 32 * q^25 - 40 * q^28 - 144 * q^30 - 16 * q^32 - 32 * q^36 - 32 * q^37 + 8 * q^42 - 32 * q^46 - 32 * q^53 - 16 * q^56 - 32 * q^57 - 16 * q^58 - 16 * q^60 - 192 * q^65 - 72 * q^70 + 80 * q^77 - 112 * q^78 - 64 * q^81 - 96 * q^84 - 32 * q^85 - 64 * q^86 + 160 * q^88 + 48 * q^92 - 96 * q^93

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

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