Space of modular forms of level 2592, weight 2, and Character 2592.by

• Label: 2592.2.by
• Level: $2592$
• Weight: $2$
• Character orbit: 2592.by
• Rep. character: $\chi_{2592}(95,\cdot)$
• Character field: $\Q(\zeta_{54})$
• Dimension: $1944$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2592 = 2^{5} \cdot 3^{4} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2592.by (of order \(54\) and degree \(18\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 324 \)
Character field:			\(\Q(\zeta_{54})\)
Sturm bound:			\(864\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(2592, [\chi])\).

	Total	New	Old
Modular forms	7920	1944	5976
Cusp forms	7632	1944	5688
Eisenstein series	288	0	288

Trace form

\( 1944 q + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(2592, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(2592, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(2592, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(324, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(648, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1296, [\chi])\)\(^{\oplus 2}\)