Space of modular forms of level 3096, weight 2, and Character 3096.dn

• Label: 3096.2.dn
• Level: $3096$
• Weight: $2$
• Character orbit: 3096.dn
• Rep. character: $\chi_{3096}(125,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $1056$
• Sturm bound: $1056$

Defining parameters

Level:	\( N \)	\(=\)	\( 3096 = 2^{3} \cdot 3^{2} \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	3096.dn (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 1032 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(1056\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(3096, [\chi])\).

	Total	New	Old
Modular forms	3216	1056	2160
Cusp forms	3120	1056	2064
Eisenstein series	96	0	96

Trace form

\( 1056 q - 16 q^{10} + 24 q^{16} + 176 q^{25} - 56 q^{40} - 28 q^{46} - 1024 q^{49} - 56 q^{52} + 224 q^{55} + 20 q^{58} + 140 q^{70} - 32 q^{79} - 168 q^{88} + 168 q^{94} + 32 q^{97}+O(q^{100}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(3096, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(3096, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(3096, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1032, [\chi])\)\(^{\oplus 2}\)