Space of modular forms of level 272, weight 10, and Character 272.bd

• Label: 272.10.bd
• Level: $272$
• Weight: $10$
• Character orbit: 272.bd
• Rep. character: $\chi_{272}(3,\cdot)$
• Character field: $\Q(\zeta_{16})$
• Dimension: $2576$
• Sturm bound: $360$

Defining parameters

Level:	\( N \)	\(=\)	\( 272 = 2^{4} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 10 \)
Character orbit:	\([\chi]\)	\(=\)	272.bd (of order \(16\) and degree \(8\))
Character conductor:	\(\operatorname{cond}(\chi)\)	\(=\)	\( 272 \)
Character field:			\(\Q(\zeta_{16})\)
Sturm bound:			\(360\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{10}(272, [\chi])\).

	Total	New	Old
Modular forms	2608	2608	0
Cusp forms	2576	2576	0
Eisenstein series	32	32	0

Trace form

\( 2576 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 24632 q^{6} - 16 q^{7} - 8 q^{8} + O(q^{10}) \)

Decomposition of \(S_{10}^{\mathrm{new}}(272, [\chi])\) into newform subspaces

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