Space of modular forms of level 1856, weight 2, and Character 1856.be

• Label: 1856.2.be
• Level: $1856$
• Weight: $2$
• Character orbit: 1856.be
• Rep. character: $\chi_{1856}(33,\cdot)$
• Character field: $\Q(\zeta_{14})$
• Dimension: $360$
• Sturm bound: $480$

Defining parameters

Level:	\( N \)	\(=\)	\( 1856 = 2^{6} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1856.be (of order \(14\) and degree \(6\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 232 \)
Character field:			\(\Q(\zeta_{14})\)
Sturm bound:			\(480\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1856, [\chi])\).

	Total	New	Old
Modular forms	1512	360	1152
Cusp forms	1368	360	1008
Eisenstein series	144	0	144

Trace form

\( 360 q - 60 q^{9} + O(q^{10}) \)

Decomposition of \(S_{2}^{\mathrm{new}}(1856, [\chi])\) into newform subspaces

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

Decomposition of \(S_{2}^{\mathrm{old}}(1856, [\chi])\) into lower level spaces

\( S_{2}^{\mathrm{old}}(1856, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(232, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(464, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(928, [\chi])\)\(^{\oplus 2}\)