Space of modular forms of level 3040, weight 2, and Character 3040.gd

• Label: 3040.2.gd
• Level: $3040$
• Weight: $2$
• Character orbit: 3040.gd
• Rep. character: $\chi_{3040}(51,\cdot)$
• Character field: $\Q(\zeta_{72})$
• Dimension: $7680$
• Sturm bound: $960$

Defining parameters

Level:	\( N \)	\(=\)	\( 3040 = 2^{5} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3040.gd (of order \(72\) and degree \(24\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 608 \)
Character field:			\(\Q(\zeta_{72})\)
Sturm bound:			\(960\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3040, [\chi])\).

	Total	New	Old
Modular forms	11616	7680	3936
Cusp forms	11424	7680	3744
Eisenstein series	192	0	192

Trace form

\( 7680 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3040, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3040, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(608, [\chi])\)\(^{\oplus 2}\)