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

• Label: 2592.2.bf
• Level: $2592$
• Weight: $2$
• Character orbit: 2592.bf
• Rep. character: $\chi_{2592}(145,\cdot)$
• Character field: $\Q(\zeta_{18})$
• Dimension: $204$
• Sturm bound: $864$

Defining parameters

Level:	\( N \)	\(=\)	\( 2592 = 2^{5} \cdot 3^{4} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	2592.bf (of order \(18\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 216 \)
Character field:			\(\Q(\zeta_{18})\)
Sturm bound:			\(864\)

Dimensions

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

	Total	New	Old
Modular forms	2736	228	2508
Cusp forms	2448	204	2244
Eisenstein series	288	24	264

Trace form

\( 204 q + 12 q^{7} + 6 q^{17} - 12 q^{23} - 12 q^{25} + 12 q^{31} + 24 q^{41} - 12 q^{47} - 12 q^{49} + 24 q^{55} + 12 q^{65} - 90 q^{71} - 6 q^{73} + 12 q^{79} + 6 q^{89} - 42 q^{95} - 12 q^{97}+O(q^{100}) \)

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

\( S_{2}^{\mathrm{old}}(2592, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(216, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(648, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(864, [\chi])\)\(^{\oplus 2}\)