Space of modular forms of level 2760, weight 2, and Character 2760.e

• Label: 2760.2.e
• Level: $2760$
• Weight: $2$
• Character orbit: 2760.e
• Rep. character: $\chi_{2760}(2621,\cdot)$
• Character field: $\Q$
• Dimension: $384$
• Sturm bound: $1152$

Defining parameters

Level:	\( N \)	\(=\)	\( 2760 = 2^{3} \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2760.e (of order \(2\) and degree \(1\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 552 \)
Character field:			\(\Q\)
Sturm bound:			\(1152\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2760, [\chi])\).

	Total	New	Old
Modular forms	584	384	200
Cusp forms	568	384	184
Eisenstein series	16	0	16

Trace form

384 * q - 4 * q^4 + 6 * q^6 + 6 * q^12 - 28 * q^16 + 6 * q^18 - 384 * q^25 + 16 * q^31 - 34 * q^36 - 24 * q^39 + 16 * q^46 - 46 * q^48 - 384 * q^49 + 68 * q^52 - 36 * q^58 + 8 * q^64 - 108 * q^72 + 42 * q^78 - 16 * q^81 + 12 * q^82 - 24 * q^87 + 92 * q^94 - 114 * q^96

Decomposition of \(S_{2}^{\mathrm{new}}(2760, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2760, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2760, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(552, [\chi])\)\(^{\oplus 2}\)